Differentiate using product rule

Differentiate using product rule
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d(uv)/dx=u(dv/dx)+v(du/dx) where u and v are functions of x.

Example: u=x^2 and v=sin(x). The problem is to differentiate x^2sin(x):

du/dx=2x and dv/dx=cos(x) so using the rule we get: x^2cos(x)+2xsin(x).
by Top Rated User (1.2m points)

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