How do you differentiate $f(x) =x sqrt(4-x^2)$ using the product rule?

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Answer 1 · 2018-02-15T08:10:04

$-x^2/sqrt(4-x^2)+sqrt(4-x^2)$

$d/dx(xsqrt(4-x^2) )=xd/dx(sqrt(4-x^2 ))+d/dx(x)sqrt(4-x^2)=x(1/2(4-x^2)^(-1/2)(-2x)+1sqrt(4-x^2)=-x^2/sqrt(4-x^2)+sqrt(4-x^2)$

How do you differentiate f(x) =x sqrt(4-x^2) f(x) =x sqrt(4-x^2) using the product rule?