1
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
2
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
$\frac{\cos x}{x}$
3
KCET 2025
MCQ (Single Correct Answer)
+1
-0
The minimum value of $1-\sin x$ is
A
0
B
-1
C
1
D
2
4
KCET 2025
MCQ (Single Correct Answer)
+1
-0

The function $f(x)=\tan x-x$

A

always increases

B

always decreases

C

never increases

D

neither increases nor decreases

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