# Derivative of Function | TOMATO BStat Objective 763

Try this problem from I.S.I. B.Stat Entrance Objective Problem based on Derivative of Function.

## Derivative of Function (B.Stat Objective Question )

$y=sin^{-1}(3x-4x^{3})$, then $\frac{dy}{dx}$ equals

• 3x
• $\frac{3}{\sqrt{1-x^{2}}}$
• 3
• none of the foregoing expressions

### Key Concepts

Equation

Derivative

Algebra

Answer:$\frac{3}{\sqrt{1-x^{2}}}$

B.Stat Objective Problem 763

Challenges and Thrills of Pre-College Mathematics by University Press

## Try with Hints

First hint

Let x=$sin {\theta}$

or, $y=sin^{-1}(3sin {\theta}-4sin^{3} {\theta})$

Second Hint

or, $y=sin^{-1}(sin3{\theta})$=$3{\theta}$=$3sin^{-1}{x}$

Final Step

or, $\frac{dy}{dx}=\frac{3}{\sqrt{1-x^{2}}}$.

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