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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 :
Check whether the function f(x) = x² |x| is differentiable at x = 0 or not.
If y = √(tan √x), prove that √x (dy/dx) = (1 + y⁴)/(4y).
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 :
The derivative of tan⁻¹(x²) w.r.t. x is :
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