What is a summary of Differentiation Rules?

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Answer 1 · 2014-08-04T11:20:04

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#