Slope of a Curve at a Point

Key Questions

• How do I find the slope of a curve at a point?

  The slope of a curve of #y=f(x)# at #x=a# is #f'(a)#.

  Let us find the slope of #f(x)=x^3-x+2# at #x=1#.

  By taking the derivative,
  #f'(x)=3x^2-1#

  By plugging in #x=1#,
  #f'(1)=3(1)^2-1=2#

  Hence, the slope is #2#.

  Wataru · · Aug 30 2014
• Slope of a curve #y=x^2-3# at the point where #x=1#?

  First you need to find #f'(x)#, which is the derivative of #f(x)#.

  #f'(x)=2x-0=2x#

  Second, substitute in the value of x, in this case #x=1#.

  #f'(1)=2(1)=2#

  The slope of the curve #y=x^2-3# at the #x# value of #1# is #2#.

  AJ Speller · · Sep 21 2014
• What is the slope of a curve?

  Answer:

  See below

  Explanation:

  In every courve's point , the slope of a courve is defined by the tangent line in that point. See picture

  

  F. Javier B. · 1 · Apr 9 2018

• How do I find the slope of a curve at a point?
• How do you find the slope of a curve at a point?
• Slope of a curve #y=x^2-3# at the point where #x=1#?
• How do you use the derivative to find the slope of a curve at a point?
• How do you find the slope of a demand curve?
• What is the slope of the tangent line at a minimum of a smooth curve?
• How do you find the Slope of the curve #y=sqrt(x)# at the point where #x=4#?
• How do you find the slope of the tangent line using the formal definition of a limit?
• How do you find the slope of the tangent line to the graph of #f(x)=-x^2+4sqrt(x)# at x = 4?
• What is the slope of the line tangent to the graph of the function #f(x)=ln(sin^2(x+3))# at the point where #x=pi/3#?
• How do you find the slope of the tangent to the curve #y^3x+y^2x^2=6# at #(2,1)#?
• Find all points on the curve #x^2y^2+xy=2# where the slope of the tangent line is #-1#?
• What is the slope of #x^2y^2=9# at #(-1, 3)#?
• What is the first derivative of #x+ tanx# and how do you find the slope of the normal to the curve where #x=pi#?
• What is the slope of the line tangent to the graph of #x^2xy+y^2=7#?
• What is the slope of the line tangent to the graph of #y=e^-x#?
• What is the slope of the tangent line to the graph of #y=e^-x/x+1# at x=1?
• For the curve #y=x-x^2#, how do you find the slope of the tangent line to the curve at (1,0)?
• How do you find the slope of the tangent line for #f(x)=1/absx# at x=4?
• How do you find the slope of a tangent line to the curve #y = x - x^5# at the point (1, 0)?
• How do you find the slope of a tangent line to the graph of the function at a given point #f(x) = 3-2x# at ( -1, 5)?
• How do you find the slope of the tangent line to the graph of the equation at the point with x-coordinate for #y = sqrt(x)# at p(4,2)?
• How do you find the slope of the tangent line to the parabola #y=7x-x^2# at the point (1,6)?
• How do you find the slope of the tangent line to the graph of the function #g(x) = 4 − 8x^2# at the point (7, -388)? can somebody explain what i need to do please? and my math book isnt explaining it well by the way.?
• Consider the circle of radius 5 centered at (0,0), how do you find an equation of the line tangent to the circle at the point (3,4)?
• How do you find the tangent line slope of #f(x)=x^3-2x-3# at x=-1?
• How do you find the slope of the tangent line for #f(x) = 3x^2# at (1,3)?
• How do you find the slope of the tangent line of #f(x) = 3-2x^3# at (-1, 5)?
• What is the slope of the line tangent to the graph of #y = arctan(3x)# at x = 1?
• How do you find the slope of the tangent line to the graph of #f(x)=x^2/(x+1)# at (2, 4/3)?
• How do you find the slope of the tangent line to the curve #y=x-x^2# at (1,0)?
• How do you find the slope of the tangent to the curve #y = 3 + 4x^2 - 2x^3# where x = a?
• How do you find the slope of the tangent line to the parabola #y = x^2 + 3x# at the point (-3, 0)?
• What is the slope of a line tangent to the curve #y=t^2-6t# through the point t=4?
• How do you find the slope of the tangent to the curve #y = 1/sqrtx# at the point where x = a?
• At what points on the graph of #f(x)=2x^3-9x^2-12x+5# is the slope of the tangent line 12?
• How do you find the slope of the secant lines of #f(x)=x^3-12x+1# through the points: -3 and 3?
• How do you find the slope of the secant lines of #f(x) = -x^2# through the points: [-2, -4]?
• How do you find the slope of the secant lines of #f(x) = 2/x + 2# through the points: (0, f(0)) and (0+h, f(0+h))?
• How do you find the slope of the secant lines of #f(x) =sqrtx# through the points: [3, 5]?
• How do you find the slope of the secant lines of #f(x) = -3x + 2 # through the points: (-4,(f(-4)) and (1,f(1))?
• How do you find the slope of the secant lines of #f(x) = (1/x) # through the points: (-4,(f(-4)) and (1,f(1))?
• How do you find the slope of the secant lines of # f(x)=x^2-5x# through the points: (1, f(1)) and (8, f(8) )?
• How do you find the slope of the secant lines of #f (x) = 2x^2 - 3x - 5# through the points: (2, f (2)) and (2 + h, f (2 + h)?
• How do you find the slope of the secant lines of #f(x)=6x-1x^2# through the points: #(2, f (2))# and #(2 + h, f (2 + h))#?
• How do you find the slope of the secant lines of #y=sqrt(x)# through the points: x=1 and x=4?
• How do you find the slope of the secant lines of #f(x)=6.1x^2-9.1x# through the points: x=8 and x=16?
• How do you find the slope of the secant lines of #f(x) = x^3+x# through the points: (1,f(1)) and (2,f(2))?
• How do you find the slope of the secant lines of #f(x) = sqrtx# at x=1?
• How do you find the slope of the secant lines of #f(x) = sqrtx# at P(4,2)?
• How do you find the slope of the secant lines of #y=2x^2+sec(x)# at #x=0# and #x= pi?#
• How do you find the slope of the secant lines of #f (x) = x ^2 - 4x + 5 # at (1, 2) and (5, 10)?
• How do you find the slope of the secant lines of #f(x)=(x^2)-4x# at [0,4]?
• How do you find the slope of the secant lines of #f(x) = 7x^2# at #(4, f(4))# and #(4+h, f(4+h))#?
• How do you find the slope of the secant lines of # f(x) = x^2 + 5x# at (6 , f(6)) and (6 + h , f(6 + h))?
• How do you find the slope of the secant lines of # f (x) = x^2 − x − 42# at (−5, −12), and (7, 0)?
• What is the slope of #y=4x-3# at #x=-1#?
• What is the slope of #f(x)=-x^3-3# at #x=-1#?
• What is the slope of #f(x)=-e^x+3# at #x=-1#?
• What is the slope of #f(x)=-e^x+2x# at #x=1#?
• What is the slope of #f(x)=-xe^x+2x# at #x=1#?
• What is the slope of #f(x)=-xe^x-x^2# at #x=1#?
• What is the slope of #f(x)=-xe^x/x^2# at #x=1#?
• What is the slope of #f(x)=-e^x/x^2# at #x=1#?
• What is the slope of #f(x)=-e^x/(x-2# at #x=-2#?
• What is the slope of #f(x)=-e^x # at #x=-2#?
• What is the slope of #f(x)=-e^(x-3x^3) # at #x=-2#?
• What is the slope of #f(x)=-xe^(x-3x^3) # at #x=-1#?
• What is the slope of #f(x)=-X/e^(x-x^3) # at #x=-1#?
• What is the slope of #f(x)=xe^(x-x^2) # at #x=-1#?
• What is the slope of #f(x)=(x+2)/e^(x-x^2) # at #x=-1#?
• What is the equation of the line with slope #3# which is tangent to the curve #f(x)=7x-x^2#?
• Question #51aa2
• How do you find a parabola with equation #y=ax^2+bx+c# that has slope 4 at x=1, slope -8 at x=-1 and passes through (2,15)?
• How do you find the slope of the tangent line to the graph of the function #f(x)=3-2x# at (-1,5)?
• How do you find the slope of the tangent line to the graph of the function #f(x)=3/2x+1# at (-2,-2)?
• How do you find the slope of the tangent line to the graph of the function #f(x)=x^2-4# at (1,-3)?
• How do you find the slope of the tangent line to the graph of the function #f(x)=5-x^2# at (2,1)?
• How do you find the slope of the tangent line to the graph of the function #f(t)=3t-t^2# at (0,0)?
• How do you find the slope of the tangent line to the graph of the function #h(t)=t^2+3# at (-2,7)?
• Find all points where the tangent line is horizontal: #x^2+xy+y^2=1#?
• Question #0aa4d
• How do you find the slope of the graph #f(x)=-1/2+7/5x^3# at (0,-1/2)?
• How do you find the slope of the graph #f(x)=3x^3-6# at (2,18)?
• How do you find the slope of the graph #f(x)=(2x+1)^2# at (0,1)?
• How do you find the slope of the graph #f(x)=3(5-x)^2# at (5,0)?
• How do you find the slope of the graph #f(x)=4sinx-x# at (0,0)?
• How do you find the slope of the graph #g(t)=2+3cost# at (pi,-1)?
• How do you find the slope of the tangent line #y=x^3# at x=1?
• How do you find the slope of the tangent line #y=x^3-7x^2+4x+9# at x=1?
• How do you find the slope of the tangent line #y=(x+1)(x-2)# at x=1?
• How do you find the slope of the tangent line #y=(5x^2+7)^2# at x=1?
• How do you find the slope of the curve #f(x)=sqrt(x-1)# at the point x=5?
• How do you find the slope of the curve #y^3-xy^2=4# at the point where y=2?
• Question #36e66
• Question #0caf6
• Question #4ab09
• If #dy/dx = 6/(2x - 3)^2#, and #y(3) = 5#, what is the x-intercept of #y#?
• Differentiate #y^2 = 4ax# w.r.t #x# (Where a is a constant)?