If y = cos^-1x^3 then dy/dx = ? A. -1/√1-x^6​ B. -3x^2/√1-x^6 C. -3/x^2√1-x^6 D. none of these ​

Question

If y = cos^-1x³ then dy/dx = ?

A. \(\frac{-1}{\sqrt{1-x^6}}\)

-1/√1-x⁶

B. \(\frac{-3x^2}{\sqrt{1-x^6}}\)

-3x²/√1-x⁶

C. \(\frac{-3}{x^2\sqrt{1-x^6}}\)

-3/x²√1-x⁶

D. none of these

Answer 1

Answer is:  B. \(\frac{-3x^2}{\sqrt{1-x^6}}\)

Given that y = cos^-1x³

Differentiating with respect to x, we get