If y = (sin⁻¹ x)², then find (1 – x²) d²y/dx² – x dy/dx.

Papers Sign In Request access

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Papers Privacy Terms Contact

Papers Sign In Request access

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

Papers Privacy Terms Contact

Second Order Derivative of a Function | PadhAiPro

Question

TextSecond Order Derivative of a FunctionCBSE PYQ

Similar Questions

If y = (tan⁻¹x)², show that (x² + 1)² d²y/dx² + 2x(x² + 1) dy/dx = 2.

TextSecond Order Derivative of a Function

The equation of the path traced by a roller-coaster is given by the polynomial f(x) = a(x + 9)(x + 1)(x − 3). If the roller-coaster crosses y-axis at a point (0, −1), answer the following :

CASE_STUDIESSecond Order Derivative of a Function

If y = √(ax + b), prove that y(d²y/dx²) + (dy/dx)² = 0.

TextDifferentiability and ContinuitySecond Order Derivative of a Function

If f(x) = {ax + b ; 0 < x ≤ 1, 2x² - x ; 1 < x < 2} is a differentiable function in (0, 2), then find the values of a and b.

TextDifferentiability and ContinuitySecond Order Derivative of a Function

If x = A cos 4t + B sin 4t, then d²x/dt² is equal to

MCQ (Single)Second Order Derivative of a Function

Differentiate sec⁻¹(1/√(1 − x²)) w.r.t. sin⁻¹(2x√(1 − x²)).

TextSecond Order Derivative of a Function