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
$$x^n \log _a x \cdot e^x$$
VITEEE Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12