Differentiate- d-dxtan-1x

dy/dx(tan^ 1x) =1/1+x^2 Ans. ...

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Derivative of Standard Functions

Differentiate...

Question

Differentiate:
$\frac{d}{d x} (t a n^{- 1} x)$

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Solution

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\frac{d}{d x} ({tan}^{- 1} x)

\frac{d}{d x} ({tan}^{- 1} \frac{x}{\sqrt{a^{2} - x^{2}}}) =

\frac{d}{d x} ({tan}^{- 1} \frac{x}{1 + \sqrt{(1 - x^{2})}} + sin {2 {tan}^{- 1} \sqrt{(\frac{1 - x}{1 + x})}})

y = f (x)

x

x = f^{- 1} (y)

x

y

\frac{d x}{d y} = \frac{1}{\frac{d y}{d x}}

\frac{d y}{d x} \neq 0

\frac{d}{d x} ({tan}^{- 1} x)

\frac{d}{d x} ({sin}^{- 1} x)

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