MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties
Problem
A point P lies on the curve y=secx with x=4π. All coordinates use radians.
(a) Calculate the slope of the tangent line to the curve at point P.
(b) Write an equation for the tangent line at P in point–slope form.
(c) Write an equation for the line normal to the curve at P.
(d) Determine the y-intercept of the tangent line found in part (b).