If y = (^2 x) , then find the value of dy/dx at x = π/2 . - Mathematics MCQ Mathematics Mock Test - 2 2026 | ExamTest.live

mediumMCQMathematics Mock Test - 22026Mathematics

1 attempts0% success rate1 mark

If y = cos (sin^{2} x), then find the value of \frac{d y}{d x} at x = π /2 .

Solution & Step-by-step Explanation

Differentiating y = cos (sin^{2} x) using the chain rule: \frac{d y}{d x} = - sin (sin^{2} x) \cdot \frac{d}{d x} (sin^{2} x) \frac{d y}{d x} = - sin (sin^{2} x) \cdot 2 sin x cos x \frac{d y}{d x} = - sin (sin^{2} x) \cdot sin (2 x) At x = π /2 : sin^{2} (π /2) = (1)^{2} = 1 sin (2 \cdot π /2) = sin (π) = 0 \frac{d y}{d x} = - sin (1) \cdot 0 = 0

Try it yourself before checking the explanation above.

If y = cos (sin^{2} x), then find the value of \frac{d y}{d x} at x = π /2 .

0

1

1/2

1/3

Practice with timed mock tests and track your performance across Mathematics.