Summary of Differentiation Rules
Key Questions
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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