y=cos^-1x

y=      -1       

         √1-x²

y=sin^-1x

y=       1       

        √1-x²

y=tan^-1x

y'=       1       

        1+x²

y=cot^-1x

y'=       -1       

          1+x²

Inverse Secant Derivative

y=sec^-1x

y'=        1        

      |x|√x²-1

y=csc^-1x

y=        -1         

      |x|√x²-1

y=uv

y'=u'v+uv'

For a function to be differentiable at x=c,

1. f(x) must be continuous at c....

Lim f(x)=Lim f(x)=f(c)

x-›c^-       x-›c⁺  

    2.  Lim f'(x)=Lim f'(x)=real number

         x-›c^-        x-›c⁺  

y=u/v

y'=u'v-uv'

         v²

y=sin x

y'=cos x

Derivative of Cosine

y=cos x

y'=-sin x

y=tan x

y'=sec²x

y=cot x

y'=-csc²x

y=sec x

y'=sec x tan x

y=csc x

y'=-csc x cot x