Transcription of Derivative Rules Sheet - Mathematics Home
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Derivative Rules Sheet - Mathematics Home
List of Derivative RulesBelow 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) =1ln(a)x f(x) = ln(x) thenf (x) =1x 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
ListofDerivativeRules Belowisalistofallthederivativeruleswewentoverinclass. • Constant Rule: f(x)=cthenf0(x)=0 • Constant Multiple Rule: g(x)=c·f(x)theng0(x)=c ...
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