Differential Calculus MCQ - SIP

Differentiate 5x² with respect to x.

• 10x

• 0

• 2x

• 5x

Which of the following is the differentiation of a constant ‘c’?

• 1

• 0

• c

• x

Find the first derivative of y = e^xsinx.

• e^xsinx

• e^x(cosx+sinx)

• e^xsinx-cosx

• None of these

Which of the following is correct?

• cosecxsinx

• -cosecxcotx

• cotx

• 1/sinx

What is the derivative of the given function f(x)?

• 
• 
• 
• 

The derivative of the function f(x)=x²(x+1) is _________.

• y’ = 2x

• y’ = 3x²

• y’ = 2x+1

• y’ = 3x²+2x

Find the differentiation of the function e^2x-3.

• e^2x-3

• e^2x

• 2e^x

• 2e^2x-3

Differentiate the given f(x) with respect to x.

• 
• 
• 
• 

The second order derivative of y = xⁿ is ______.

• nx^n-1

• n(n-1)x^n-2

• n²x^n-1

• (n+1)xⁿ

If y = (cosx)³, then dy/dx = ______.

• -3sinx(cosx)²

• -3(cosx)²

• 3cosx(sinx)²

• 3cot²x