Question

Given $y=e^3+\sin x,\frac{d^2}{d{x}^2}=$

• A. $e^x+\cos x$
• B. $e^x+\sin x$
• C. $e^x-\sin x$
• D. None of these

Answer 1

The correct option is D None of these

$y=e^3+\sin x$

Diff wrt $x$

$\frac{dy}{dx}=\frac{d}{dx}(e^3+\sin x)$

$=0+\cos x$

$\frac{dy}{dx}=\cos x$

Again, diff w.r.t $x$

$\frac{d^{2}y}{d{x}^2}=\frac{d}{dx}\left(\cos x\right)$

$\frac{d^{2}y}{d{x}^2}=-\sin x$

$\therefore$ Ans $\to$ None of these