Math  /  Calculus

Question1. Differentiate cos(x2)\cos \left(x^{2}\right).

Studdy Solution
Substitute back u=x2u = x^2 to express the final derivative in terms of xx.
ddxcos(x2)=sin(x2)2x=2xsin(x2) \frac{d}{dx} \cos(x^2) = -\sin(x^2) \cdot 2x = -2x \sin(x^2)
The solution is 2xsin(x2)\boxed{-2x \sin(x^2)}.

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