What is the slope of r=tantheta^2-theta^2-theta at theta=(3pi)/8? Calculus Polar Curves Determining the Slope and Tangent Lines for a Polar Curve 1 Answer Lucy Apr 14, 2018 (dr)/(d theta) = 67.88 Explanation: r=tantheta^2-theta^2-theta (dr)/(d theta) = 2theta(sectheta^2)^2-2theta-1 At theta =(3pi)/8 (dr)/(d theta ) = 2times(3pi)/8times(sec((3pi)/8)^2)^2-2times(3pi)/8-1 (dr)/(d theta) = 67.88 Answer link Related questions How do you find the slope of the tangent line to a polar curve? How do you find the slope of a polar curve? How do you find the equation of the tangent line to the polar curve r=3+8sin(theta) at theta=pi/6 ? How do you find the slope of the polar curve r=3+8sin(theta) at theta=pi/6 ? How do you find the slope of the polar curve r=cos(2theta) at theta=pi/2 ? How do you find the slope of the polar curve r=1+sin(theta) at theta=pi/4 ? How do you find the slope of the polar curve r=3sec(2theta) at theta=pi/6 ? How do you find the equation of the tangent lines to the polar curve r=sin(2theta) at theta=2pi ? How do you find the equation of the tangent lines to the polar curve r=4cos(theta) at theta=0 ? What is the slope of x-2y=2? See all questions in Determining the Slope and Tangent Lines for a Polar Curve Impact of this question 1460 views around the world You can reuse this answer Creative Commons License