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14.
Derivative of tan x
$\dfrac{d}{dx}\, \left( \tan x \right) = \frac{1}{\cos^2 x}$
15.
Derivative of cotangent
$\dfrac{d}{dx}\, \left( \cot x\right) = -\dfrac{1}{\sin^2x}$
16.
Differentiation of arcsin x
$\dfrac{d}{dx}\, \left( \sin^{-1} x\right) = \dfrac{1}{\sqrt{1-x^2}}$
17.
Derivative od arccosx
$\dfrac{d}{dx}\, \left( \cos^{-1} x\right) = -\dfrac{1}{\sqrt{1-x^2}}$
18.
Derivative of arctanx
$\dfrac{d}{dx}\, \left( \tan^{-1} x\right) = \dfrac{1}{1+x^2}$
19.
Derivative of arccotx
$\dfrac{d}{dx}\, \left( \cot^{-1} x\right) = -\dfrac{1}{1+x^2}$