Question

Slope of the curve $y=x^3-e^x+\cos x$ is

• A. $x^2+e^x-\sin x$
• B. $3x^2+e^x-\sin x$
• C. $3x^2-e^x-\sin x$
• D. $x^2-e^x+\sin x$

Answer 1

The correct option is C $3x^2-e^x-\sin x$

Slope of the curve $y=f\left(x\right)$ is given by $\frac{dy}{dx}$
$\Rightarrow \frac{d(x^3-e^x+\cos x)}{dx}$
$\Rightarrow \frac{d{x}^3}{dx}-\frac{d{e}^x}{dx}+\frac{\cos x}{dx}$
$\Rightarrow 3x^2-e^x-\sin x$