# Table of Derivatives of Inverse Trigonometric Functions d (sin x) dx 1 (cscx) dx XVX2 – 1 1 (cos x)=

Table of Derivatives of Inverse Trigonometric Functions d (sin x) dx 1 (cscx) dx XVX2 – 1 1 (cos x)= dx (sec x) dx x2 xVx2 1 1 (tan x)= dx (cot x) dx Together with the rules that we had with derivatives, find y’ of the following functions: e 1) y= 1 +e yecos cos (e2) 2) 3) y= tan-1 4) e y-1 5) (For #5, try to do it in two different ways: i) take the derivative directly with chain rule and quotient rule; or i) use the properties of logarithmic y= function to simply it first and then take the derivative). I will recall some common used properties of logarithmic functions: log (x)og ) = loge (xy)

Table of Derivatives of Inverse Trigonometric Functions d (sin x) dx 1 (cscx) dx XVX2 – 1 1 (cos x)= dx (sec x) dx x2 xVx2 1 1 (tan x)= dx (cot x) dx Together with the rules that we had with derivatives, find y’ of the following functions: e 1) y= 1 +e yecos cos (e2) 2) 3) y= tan-1 4) e y-1 5) (For #5, try to do it in two different ways: i) take the derivative directly with chain rule and quotient rule; or i) use the properties of logarithmic y= function to simply it first and then take the derivative). I will recall some common used properties of logarithmic functions: log (x)og ) = loge (xy) log (r)log () = log ) loga (a)nloga (x)

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