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

If the parametric equation of curve is given by $$x=\cos \theta+\log \tan \frac{\theta}{2}$$ and $$y=\sin \theta$$, then the points for which $$\frac{d y}{d x}=0$$ are given by

A
$$\theta=\frac{n \pi}{2}, n \in Z$$
B
$$\theta=(2 n+1) \frac{\pi}{2}, n \in Z$$
C
$$\theta=(2 n+1) \pi, n \in Z$$
D
$$\theta=n \pi, n \in z$$
2
KCET 2021
MCQ (Single Correct Answer)
+1
-0

If $$y=(x-1)^2(x-2)^3(x-3)^5$$, then $$\frac{d y}{d x}$$ at $$x=4$$ is equal to

A
108
B
54
C
36
D
516
3
KCET 2020
MCQ (Single Correct Answer)
+1
-0

If $$2^x+2^y=2^{x+y}$$, then $$\frac{d y}{d x}$$ is

A
$$2^{y-x}$$
B
$$-2^{y-x}$$
C
$$2^{x-y}$$
D
$$\frac{2^y-1}{2^x-1}$$
4
KCET 2020
MCQ (Single Correct Answer)
+1
-0

If $$y=2 x^{n+1}+\frac{3}{x^n}$$, then $$x^2 \frac{d^{2 y}}{d x^2}$$ is

A
$$6 n(n+1) y$$
B
$$n(n+1) y$$
C
$$x \frac{d y}{d x}+y$$
D
$$y$$
KCET Subjects
EXAM MAP