1
KCET 2025
MCQ (Single Correct Answer)
+1
-0

If $y=\frac{\cos x}{1+\sin x}$, then

(a) $\frac{d y}{d x}=\frac{-1}{1+\sin x}$

(b) $\frac{d y}{d x}=\frac{1}{1+\sin x}$

(c) $\frac{\mathrm{dy}}{\mathrm{dx}}=-\frac{1}{2} \sec ^2\left(\frac{\pi}{4}-\frac{\mathrm{x}}{2}\right)$

(d) $\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{1}{2} \sec ^2\left(\frac{\pi}{4}-\frac{\mathrm{x}}{2}\right)$

A
Only $b$ is correct
B
Only a is correct
C
Both a and c are correct
D
Both b and d are correct
2
KCET 2025
MCQ (Single Correct Answer)
+1
-0

If $\mathrm{y}=\mathrm{a} \sin ^3 \mathrm{t}, \mathrm{x}=\mathrm{a} \cos ^3 \mathrm{t}$, then $\frac{\mathrm{dy}}{\mathrm{dx}}$ at $\mathrm{t}=\frac{3 \pi}{4}$ is

A
-1
B
$\frac{1}{\sqrt{3}}$
C
$-\sqrt{3}$
D
1
3
KCET 2025
MCQ (Single Correct Answer)
+1
-0

The derivative of $\sin \mathrm{x}$ with respect to $\log \mathrm{x}$ is

A
$\cos x$
B
$x \cos x$
C
$\frac{\cos x}{\log x}$
D
$\frac{\cos x}{x}$
4
KCET 2024
MCQ (Single Correct Answer)
+1
-0

If $y=2 x^{3 x}$, then $d y / d x$ at $x=1$ is

A
2
B
6
C
3
D
1
KCET 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