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   DERIVATIVES > Trigonometric functions        

Derivatives of trigonometric functions

{d \over dx} \sin x = \cos x

{d \over dx} \cos x = -\sin x

{d \over dx} \tan x = \sec^2 x

{d \over dx} \sec x = \tan x \sec x

{d \over dx} \cot x = -\csc^2 x

{d \over dx} \csc x = -\cot x \csc x

{d \over dx} \sin^{-1} x = { 1 \over \sqrt{1 - x^2}}

{d \over dx} \cos^{-1} x = {-1 \over \sqrt{1 - x^2}}

{d \over dx} \tan^{-1} x = { 1 \over 1 + x^2}

{d \over dx} \sec^{-1} x = { 1 \over |x|\sqrt{x^2 - 1}}

{d \over dx} \cot^{-1} x = {-1 \over 1 + x^2}

{d \over dx} \csc^{-1} x = {-1 \over |x|\sqrt{x^2 - 1}}

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  • Trigonometric functions


  • Hyperbolic functions
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