Tip:A–D to answerE for explanationV for videoS to reveal answer
The derivatives of (x3+ex+3x+cotx) with respect to x is
- A.
3x2+ex+3x(log3)−cosec2x
(Correct Answer) -
Correct Answer: 3x2+ex+3x(log3)−cosec2x
Explanation
Concept:
dxd(ax)=axlna
dxd(cotx)=−cosec2x
Calculation:
\begin{aligned}
& \mathrm{\frac{d}{dx}\left(x^{3}+e^{x}+3^{x}+\cot x\right)} \\
& \mathrm{=3x^2+e^x+3^xlog3-cosec^2x} \\
& \text{Hence, option (1) is correct.}
\end{aligned}
Explanation
Concept:
dxd(ax)=axlna
dxd(cotx)=−cosec2x
Calculation:
\begin{aligned}
& \mathrm{\frac{d}{dx}\left(x^{3}+e^{x}+3^{x}+\cot x\right)} \\
& \mathrm{=3x^2+e^x+3^xlog3-cosec^2x} \\
& \text{Hence, option (1) is correct.}
\end{aligned}
