First slide

Differentiability

Question

$y = {Tan}^{- 1} \sqrt{\frac{1 - x}{1 + x}} then \frac{d y}{d (\cos^{- 1} x)} =$

Moderate

A

1
B

$\frac{1}{2}$
C

2
D

$\frac{1}{\sqrt{1 - x^{2}}}$

Solution

$\begin{array}{l} x = \cos 2 θ \Rightarrow θ = \frac{1}{2} \cos^{- 1} x (- 1 < x < 1) \\ y = {Tan}^{- 1} \sqrt{\frac{1 - \cos 2 θ}{1 + \cos 2 θ}} = {Tan}^{- 1} (Tan θ) = θ = \frac{1}{2} \cos^{- 1} x \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App