[PDF] List of Derivative Rules

[PDF] List of Derivative Rules - UC Davis Math

List of Derivative Rules Below is a list of all the derivative rules we went over in class • Constant Rule: f(x) = c then f (x)=0

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6961_2Derivatives.pdf

List of Derivative Rules

Below is a list of all the derivative rules we went over in class. •Constant Rule:f(x) =cthenf?(x) = 0 •Constant Multiple Rule:g(x) =c·f(x) theng?(x) =c·f?(x) •Power Rule:f(x) =xnthenf?(x) =nxn-1 •Sum and Difference Rule:h(x) =f(x)±g(x) thenh?(x) =f?(x)±g?(x) •Product Rule:h(x) =f(x)g(x) thenh?(x) =f?(x)g(x) +f(x)g?(x) •Quotient Rule:h(x) =f(x) g(x)thenh?(x) =f?(x)g(x)-f(x)g?(x)g(x)2 •Chain Rule:h(x) =f(g(x)) thenh?(x) =f?(g(x))g?(x) •Trig Derivatives: -f(x) = sin(x) thenf?(x) = cos(x) -f(x) = cos(x) thenf?(x) =-sin(x) -f(x) = tan(x) thenf?(x) = sec2(x) -f(x) = sec(x) thenf?(x) = sec(x)tan(x) -f(x) = cot(x) thenf?(x) =-csc2(x) -f(x) = csc(x) thenf?(x) =-csc(x)cot(x) •Exponential Derivatives -f(x) =axthenf?(x) = ln(a)ax -f(x) =exthenf?(x) =ex -f(x) =ag(x)thenf?(x) = ln(a)ag(x)g?(x) -f(x) =eg(x)thenf?(x) =eg(x)g?(x) •Logarithm Derivatives -f(x) = loga(x) thenf?(x) =1 ln(a)x -f(x) = ln(x) thenf?(x) =1 x -f(x) = loga(g(x)) thenf?(x) =g?(x) ln(a)g(x) -f(x) = ln(g(x)) thenf?(x) =g?(x) g(x) 1

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