Answers edited by Steve M

• Back to user's profile
• Next
• Prove that? `lim_(h->0)(sec(x+h) - sec x)/h = sec x*tan x`
  
• What is the derivative of `x^(lnx)`?
  
• How do you use the properties of summation to evaluate the sum of `Sigma (i^2-1)` from i=1 to 10?
  
• How do you simplify `(n+4)(n+5)(n+3)!`?
  
• What types of points are critical points?
  
• How do you find `(d^2y)/(dx^2)` for `5x^2=5y^2+4`?
  
• For `f(t)= (t^2,t^3)` what is the distance between `f(1)` and `f(3)`?
  
• Find the derivative of `sinx` using First Principles?
  
• How do you solve `4cos^2x-1=0`?
  
• What is the slope of the line normal to the tangent line of `f(x) = e^(x^2-1)+3x-2` at `x= 1`?
  
• How do you find `(dy)/(dx)` given `x^2+y^2=1`?
  
• Question #ae2f4
  
• How do you find intercepts, extrema, points of inflections, asymptotes and graph `y=(20x)/(x^2+1)-1/x`?
  
• How do you compute the 9th derivative of: `arctan((x^3)/2)` at x=0 using a maclaurin series?
  
• How do you find the limit of `x/sinx` as x approaches 0?
  
• How do you find the derivative of `f(x) = 2/(x-1) - 1/(x+2)`?
  
• How do you integrate `int x/sqrt(2+3x)` by parts?
  
• How do you find the limit of `(x^2-4)/(x-2)` as x approaches 2?
  
• What is the derivative of this function `y= (1+sin x)/(1-sin x)`?
  
• How do you find the critical numbers of `f(x)= 2x^3 + 3x^2-12x`?
  
• Is `f(x) =e^x/x-x^3-3` concave or convex at `x=-1`?
  
• How do you find the limit of `(2-e^x)/(2+3e^x)` as x approaches infinity?
  
• What is a solution to the differential equation `dy/dx=e^(x+y)`?
  
• How do you integrate by substitution `int x^2(x^3+5)^4 dx`?
  
• How do you find the derivative of `f(x)=x^3+x^2` using the limit process?
  
• Using the limit definition, how do you differentiate `f(x) =1/(x+2)`?
  
• Question #c4080
  
• How do you find the inner product and state whether the vectors are perpendicular given `<3,1,4>*<2,8,-2>`?
  
• How do you find the derivative of `5=3e^(xy)+x^2y+xy^2`?
  
• How do you find the antiderivative of `int (xe^x) dx`?
  
• How do you find the limit of `sinx/(x-pi)` as `x->pi`?
  
• How do you find the limit of `x/sinx` as x approaches 0?
  
• How do you find the equation of the tangent lines to the curve at the point x=2 considering the equation `x^2-2xy+4y^2=64`?
  
• How do you calculate `(d^2y)/(dx^2)` of `y=-4x^2+7x`?
  
• How do you find the equation of the tangent line to the curve `y=x^4+2x^2-x` at (1,2)?
  
• What is the derivative of `sec(x-x^2)`?
  
• How do you integrate `ln(x)/x^3`?
  
• How do you use the definition of a derivative to find the derivative of `f(x) = 5x + 9` at x=2?
  
• How do you use the limit definition to find the derivative of `y=-4x-5`?
  
• How do you find the area bounded by `y=x+4` and `y=x^2+2`?
  
• How do you find ((d^2)y)/(dx^2)?
  
• How do you find the slope of the line tangent to the graph of `y = x ln x` at the point ( 1,0 )?
  
• How do you find the derivative of `ln(x^3+3x)`?
  
• What is the acceleration of the system and the tension in the ropes joining the masses in the following diagram?
  
• A tangent line is drawn to the hyperbola `xy=c` at a point P, how do you show that the midpoint of the line segment cut from this tangent line by the coordinate axes is P?
  
• How do you find `(dy)/(dx)` given `xe^siny=e^y`?
  
• How do you integrate `y=sinx/tanx` using the quotient rule?
  
• What is the solution to the Differential Equation `dy/dx = sin(x+y) + cos(x+y)`?
  
• How do you use the first and second derivatives to sketch `y= -(x-2) (x+2) (x-4)`?
  
• Prove that `secx-cosx=tanxsinx`?
  
• How do you evaluate the definite integral `int e^x` from `[0,ln2]`?
  
• How do you determine where the function is increasing or decreasing, and determine where relative maxima and minima occur for `f(x) = sqrt(x^2+1)`?
  
• What are the asymptotes of `f(x)=-x/((x^2-8)(x-2))`?
  
• How do you find `(dy)/(dx)` given `xe^siny=e^y`?
  
• How do you find the points where the graph of the function `y=(x+3)(x-3)` has horizontal tangents?
  
• A coin is dropped from a height of 750 feet. The height, *s* (ft), at time *t* (sec), is given by `s=-16t^2+750`. How long does it take for the coin to hit the ground?
  
• How do you prove that the limit of `(x^2+3x)=-18` as x approaches -3 using the epsilon delta proof?
  
• How do you find the derivative of `y=ln((x-1)/(x+1))^(1/3)`?
  
• How do you integrate `(x - 16) / (x^2 + x - 2)` using partial fractions?
  
• How do you use the limit definition to find the derivative of `f(x)=(4-3x)/(2+x)`?
  
• How do you differentiate `y=e^(e^x)`?
  
• How do you find the limit of `x/sinx` as x approaches 0?
  
• How do you use the chain rule to differentiate `y=5tan^5(2x+1)`?
  
• How do you find the maximum value of `y = -x^2 + 8x - 4`?
  
• How do you use the limit definition of the derivative to find the derivative of `f(x)=-4x^3-3x^2+1`?
  
• What is a solution to the differential equation `y'' + 4y = 8sin2t`?
  
• How do you find the equation of the tangent and normal line to the curve `y=x^2-x` at x=1?
  
• How do you integrate `int 1/(2x^3)dx`?
  
• What is the equation of the normal line of `f(x)=e^-x+x^3` at `x=-5`?
  
• What is the derivative of `ln[-30(x^3-2x+e^x)^5]`?
  
• How to you find the general solution of `dy/dx=xsqrt(5-x)`?
  
• How do you integrate `secx^4 dx`?
  
• If `g(x)=x/(e^x)`, what is `g^(n) (x)`?
  
• Is `f(x) = (x+3)^(2/3) - 6` concave or convex?
  
• Differential Calculus Word Problem?
  
• How do we find the values of k and m that makes function continue anywhere piecewise function of `(x^2) + 5` when x > 2, `m(x+3) + k` when `-1 < x <=2` and `2(x^3) + x + 7` when `x <=-1`?
  
• How do you use a power series to approximate `int_0^1xtan^-1xdx`?
  
• Next