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

Question

TextDifferentiability and ContinuitySecond Order Derivative of a FunctionCBSE PYQ

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Which of the following statements is true for the function f(x) = {x² + 3, x ≠ 0; 1, x = 0} ?

Check whether the function f(x) = x² |x| is differentiable at x = 0 or not.

Derivative of a Function

Differentiability and Continuity

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