1
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

If $$y=1+\frac{x}{1 !}+\frac{x^2}{2 !}+\frac{x^3}{3 !} \ldots$$, then $$\frac{d y}{d x}$$ is equal to

A
$$e^x$$
B
$$\sin x$$
C
y
D
x
2
VITEEE 2021
MCQ (Single Correct Answer)
+1
-0

The value of $$\frac{d}{d x}\left(x^n \log _a x e^x\right)$$ is

A
$$e^x \log _a x+\frac{x^{n-1}}{\log _e a}$$
B
$$e^x x^{n-1}\left\{x \log _a x+\frac{1}{\log _e a}+n \log _a x\right\}$$
C
$$n x^{n-1} \log _a x e^x$$
D
$$x^n \log _a x \cdot e^x$$
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