Question

If y² = 4ax then \(\rm \frac{dy}{dx} = \)
1. 4a
2. \(\rm \frac{4a}{y}\)
3. \(\rm \frac{2a}{y}\)
4. 2a

Answer 1

Correct Answer - Option 3 : \(\rm \frac{2a}{y}\)

Concept:

\(\rm \frac{dx^n}{dx}=nx^{n-1}\)

 

Calculation:

Given: y2 = 4ax

Differentiating with respect to x, we get

\(\rm \Rightarrow {2y}\frac{dy}{dx} = 4a\)

\(\rm \Rightarrow \frac{dy}{dx} = \frac{4a}{{2y}} \)

\(\rm \therefore \frac{dy}{dx} = \frac{2a}{y} \)