SOLUTION: Determine the equation of the tangent to the curve f(x) = (2x^2 - 1)^-5 at x = 1. Leave your final answer at standard form.

Algebra ->  Test -> SOLUTION: Determine the equation of the tangent to the curve f(x) = (2x^2 - 1)^-5 at x = 1. Leave your final answer at standard form.      Log On


   



Question 1163275: Determine the equation of the tangent to the curve f(x) = (2x^2 - 1)^-5 at x = 1. Leave your final answer at standard form.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Find the coordinates of the point of tangency:



Let , then , then



Then



So write a linear equation that represents a line that goes through the point (1,1) with a slope of -24.


John

My calculator said it, I believe it, that settles it