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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).
If √(1 – x²) + √(1 – y²) = a (x – y), prove that dy/dx = √(1 – y²)/√(1 – x²).
If y = (tan x)ˣ, then find dy/dx.
The derivative of tan⁻¹(x²) w.r.t. x is :
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