If
f(x) = 8x2 − x3,
find f '(1) and use it to find an equation of the tangent line to the curve
y = 8x2 − x3
at the point (1, 7).

Question

If 
f(x) = 8x2 − x3,
 find f '(1) and use it to find an equation of the tangent line to the curve 
y = 8x2 − x3
 at the point (1, 7).

thatgingeronfire · Answer

okay well start by finding f(1). So put in 1 where you see x.
$$f(1)=8(1)^{2}-(1)^{3}$$
So what do we get?

thatgingeronfire · Answer

Alright. I'm going to go to bed. Once you find that you have to find the tangent line to a curve. http://www.math.brown.edu/utra/tangentline.html http://www.mathsisfun.com/calculus/derivatives-introduction.html I hope these resources help. Hopefully someone else will help you.