The second order derivative of $x^3$ log x is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → $x(5+6log\, x)$
$y=x^3\log x$
$\frac{dy}{dx}=3x^2\log x+x^2$
so $\frac{d^2y}{dx^2}=6x\log x+3x+2x$
$=x(5+6\log x)$
The second order derivative of $x^3$ log x is :
Correct answer: option 1
The correct answer is Option (1) → $x(5+6log\, x)$
$y=x^3\log x$
$\frac{dy}{dx}=3x^2\log x+x^2$
so $\frac{d^2y}{dx^2}=6x\log x+3x+2x$
$=x(5+6\log x)$