2. Intro to Derivatives

Derivatives and tangent lines

a. For the following functions and values of a, find f′(a).

f(x) = 8x; a = −3

Find an equation of the line tangent to the following curves at the given value of x.

y = 4 sin x cos x; x = π/3

Given the function $f(x)=x^2+100$, calculate the slope of the tangent line at $x=0$.