Find the value of a and b so that function f defined as : f(x) = {(x – 2)/(|x – 2|) + a, if x 2} is a continuous function.

Question

TextDerivative of a FunctionContinuity of a Function at a PointCBSE PYQ

Loading...

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

The derivative of sin (x²) w.r.t. x, at x = √π is :

Derivative of a Function

The number of points of discontinuity of f(x) = {|x|+3, if x ≤ –3; –2x, if –3 < x < 3; 6x+2, if x ≥ 3} is :

If f(x) = |tan 2x|, then find the value of f′(x) at x = π/3.

A function f(x) = |1 – x + |x|| is :

If x = e^(x/y), prove that dy/dx = (log x – 1)/(log x)²