The differential of (e^{x^{3}})with respect to log x is – | MATH - DIFFERENTIATION OF IMPLICIT FUNCTION, PARAMETRIC AND COMPOSITE FUNCTIONS | SolveeIt | Solveeit

Today, August 23

Question

The differential of $e^{x^{3}}$ with respect to log x is –

A

$3x^{2}e^{x^{3}} + 3x^{2}$

B

$3x^{2}e^{x^{3}}$

C

$3x^{3}e^{x^{3}}$

D

$e^{x^{3}}$

Answer

$3x^{2}e^{x^{3}} + 3x^{2}$

Explanation

Solution

Q $\frac{dy}{dx}$ = 0 ⇒ y + x²y = x + c

$\frac{dy}{dx}$ + x² $\frac{dy}{dx}$ + y(2x) = 1 ; ∴ xy = ½