calculus · worked example

Solve x · cos(x) = cos(x) - xsin(x)

Method: Produktregel. Verified step-by-step solution with our free AI math solver.

Problem

$\frac{d}{dx}(x \cos x)$

Step-by-step solution

Wende $(fg)' = f'g + fg'$ mit $f = x$ , $g = \cos x$ an.
$f' = 1$ , $g' = -\sin x$ .
Ergebnis: $\cos x - x\sin x$ .

Answer

$\cos(x) - x\sin(x)$

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