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How do you use the product rule to find the derivative of y=x2⋅sin(x)y=x^2*sin(x) ?

Sagot :

[tex](f(x)\cdot g(x))'=f'(x)\cdot g(x)+f(x)\cdot g'(x)\\\\ y=x^2\sin x\\ y'=2x\cdot \sin x+x^2\cdot \cos x\\ y'=x(2 \sin x+x\cos x)[/tex]