If (x^{\frac{3}{4}}+y^{\frac{3}{4}}=a^{\frac{3}{4}}) (a is a... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If $x^{\frac{3}{4}}+y^{\frac{3}{4}}=a^{\frac{3}{4}}$ (a is a constant) then $\frac{dy}{dx}$ is equal to :

A

$(\frac{y}{x})^{\frac{1}{4}}$

B

$(\frac{x}{y})^{\frac{1}{4}}$

C

$-(\frac{y}{x})^{\frac{1}{4}}$

D

$-(\frac{x}{y})^{\frac{1}{4}}$

Answer

$-(\frac{y}{x})^{\frac{1}{4}}$

Explanation

Solution

The correct option is(C): $-(\frac{y}{x})^{\frac{1}{4}}$