Question

What is a summary of Differentiation Rules?

Answer 1

Power rule:
if `f(x) = x^n` then `f'(x) = nx^(n-1)`

Sum rule:
if `f(x) = g(x)+h(x)` then `f'(x) = g'(x)+h'(x)`

Product rule:
if `f(x) = g(x)h(x)` then `f'(x) = g'(x)h(x) + g(x)h'(x)`

Quotient rule:
if `f(x) = g(x)/(h(x))` then `f'(x) = (g'(x)h(x) - g(x)h'(x))/(h(x))^2`

Chain rule:
if `f(x) = h(g(x))` then `f'(x) = h'(g(x))g'(x)`
Or:
`dy/dx=dy/(du)*(du)/dx`

For more information:
http://socratic.org/calculus/basic-differentiation-rules/summary-of-differentiation-rules