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 1

The Correct Option is C

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