Problem : Compute the derivative of
g(x) = |
g'(x) | = | ||
= | |||
= |
Problem : Find the derivative of
h(x) = e ^{x2+sin(x)} |
h'(x) | = | f'(g(x))g'(x) | |
= | (e ^{x2+sin(x)})(2x + cos(x)) |
Problem : Find the derivative of g(x) = log(x) , noting that g has inverse f (x) = e ^{x} and using implicit differentiation.
We differentiate both sides of f (g(x)) = x with respect to x to obtain
f'(g(x))g'(x) = 1 |
g'(x) = |
g'(x) = = |