Explore topic-wise MCQs in Mathematics.

This section includes 10 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Find ( frac{dy}{dx} ) of y = sin (ax + b).

A. a.cos (ax + b)
B. b.sin (ax + b)
C. a.sin (ax + b)
D. a.cos (ax + b)
Answer» B. b.sin (ax + b)
Discussion
2.

If (y = tan^{-1}( frac{3x-x^3}{1-3x^2}), frac{-1}{ sqrt{3}} < x < frac{-1}{ sqrt{3}} )

A. 3
B. ( frac{3}{1+x} )
C. ( frac{3}{1+x^2} )
D. ( frac{3}{1+x^2} )
Answer» E.
Discussion
3.

What is derivative of cotx?

A. tanx
B. sec<sup>2</sup>x
C. cosec<sup>2</sup>x
D. cosec<sup>2</sup>x
Answer» D. cosec<sup>2</sup>x
Discussion
4.

Find ( frac{dy}{dx} ) of 2x+3y = sinx.

A. ( frac{cosx-2}{3} )
B. ( frac{cosx-2}{2} )
C. ( frac{cosx-3}{2} )
D. ( frac{sinx-2}{3} )
Answer» B. ( frac{cosx-2}{2} )
Discussion
5.

Value after differentiating cos (x2+5) is ________

A. 5.sin (x<sup>2</sup>+5)
B. -sin (x<sup>2</sup>+5).2x
C. sin (x<sup>2</sup>+5).2x
D. cos (x<sup>2</sup>+5).2x
Answer» C. sin (x<sup>2</sup>+5).2x
Discussion
6.

Value after differentiating cos (sinx) is _________

A. sin (sinx).cosx
B. -sin (sinx).cosx
C. sin (sinx)
D. sin (cosx).cosx
Answer» C. sin (sinx)
Discussion
7.

What is value of ( frac{dy}{dx} ) if x-y = 1?

A. 1
B. 2
C. -1
D. 2
Answer» B. 2
Discussion
8.

Find derivative of tan(x+4).

A. sec<sup>2</sup>(x+4)
B. 4 sec<sup>2</sup>(x+4)
C. 4x sec<sup>2</sup>(x+4)
D. sec<sup>2</sup>(x)
Answer» B. 4 sec<sup>2</sup>(x+4)
Discussion
9.

What is derivative of xn?

A. n
B. nx<sup>n</sup>
C. nx<sup>n-1</sup>
D. nx<sup>n-2</sup>
Answer» D. nx<sup>n-2</sup>
Discussion
10.

Find the derivative of f(x) = sin(x2).

A. -sin(x<sup>2</sup>)
B. 2xcos(x<sup>2</sup>)
C. -2xcos(x<sup>2</sup>)
D. -2xsin(x<sup>2</sup>)
Answer» C. -2xcos(x<sup>2</sup>)
Discussion