Question Practice

If y = (x^2 + 1)^(sin x), what is dy/dx?

Attempt the question, check the explanation, and continue with similar questions to build confidence before exams.

MCQ_SA

Single Answer MCQ

Q-00103143

dy/dx = (x^2 + 1)^(sin x) (2x sin x + cos x log(x^2 + 1))

dy/dx = (x^2 + 1)^(sin x) (2x ln(x^2 + 1))

dy/dx = (x^2 + 1)^(sin x) (x cos x + 2x)

dy/dx = sin x (x^2 + 1)^(sin x - 1)

Video Explanation

Watch Video Solution

Keep Practising

Students who asked this also explored

Continue with nearby questions to strengthen the same chapter concept while you still have the context fresh in mind.

Q1.

What is the definition of continuity at a point c for a function f?

Q2.

Which of the following functions is continuous at x = 2?

Q3.

At which point is the function f(x) = {2 if x < 1, 3 if x ≥ 1} discontinuous?

Q4.

Which condition is necessary for differentiability at a point?