Derivatives of Trig Functions and Inverse ones

y= Sin x

What is the derivative?

dy/dx = cos x

y= Cos x

What is the derivative?

dy/dx = - Sin x

y= Tan x

What is the derivative?

dy/dx = sec²x

y= cosecant (csc x)

What is the derivative?

dy/dx = - csc x cot x

y = secant (sec x)

What is the derivative?

dy/dx = sec x tan x

y = cotangent (cot x)

What is the derivative?

dy/dx = - csc²x

y=\sin^{-1}\left(x\right)

what is derivative

y^{\prime}=\frac{1}{\sqrt{1-\left(\times\right)^2}}

y=\cos^{-1}\left(x\right)

what is the derivative?

y^{\prime}=-\frac{1}{\sqrt{1-\left(\times\right)^2}}

\displaylines{y=\tan^{-1}\left(x\right)}

What is the derivative?

\displaylines{y^{\prime}=\frac{1}{1+\left(x\right)^2}}

y=\csc^{-1}\left(x\right)

What is the derivative?

y^{\prime}=-\frac{1}{\left\vert x\right\vert\sqrt{\left(x\right)^2-1}^{}}

y=\sec^{-1}\left(x\right)

What is the derivative?

y^{\prime}=\frac{1}{\left\vert x\right\vert\sqrt{\left(x\right)^2-1}^{}}

\displaylines{y=\cot^{-1}\left(x\right)}

What is the derivative?

\displaylines{y^{\prime}=-\frac{1}{1+\left(x\right)^2}}