Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

How do you use the product rule to find the derivative of y=x√⋅cos(x)y=sqrt(x)*cos(x) ?

Sagot :

[tex]y=\sqrt x\cos x\\ y'=(\sqrt x)'\cos x+\sqrt x (\cos x)'\\ y'=\frac{1}{2\sqrt x}\cos x+\sqrt x\cdot(-\sin x)\\ y'=\frac{1}{2\sqrt x}\cos x-\sqrt x\sin x\\ [/tex]