First slide

Derivatives

Question

$If y = \sin^{- 1} 2 x + \tan^{- 1} 3 x + \cos^{- 1} 2 x + \cot^{- 1} 3 x then \frac{d y}{d x} =$

Moderate

A

0
B

1
C

$\frac{2}{\sqrt{1 - x^{2}}} + \frac{3}{\sqrt{1 + 9 x^{2}}}$
D

2

Solution

$y = \sin^{- 1} 2 x + \cos^{- 1} 2 x + \tan^{- 1} 3 x + \cot^{- 1} 3 x = \frac{π}{2} + \frac{π}{2} = π \Rightarrow \frac{d y}{d x} = 0.$

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