How do you find the derivative of $2 x cos (x)$ $2x cos(x)$ ?

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Answer 1 · 2015-11-05T06:26:04

$- 2 x sin (x) + 2 cos (x)$ $-2xsin(x) + 2cos(x)$

Use the product rule: $(uv)' = u*v' + v*u'$
in this case $u = 2x$ and $v=cos(x)$
So...
$(uv)' = u*v' + v*u'$
$(uv)' = 2x*(cos(x))' + cos(x)*(2x)'$

the derivative of $cos(x)$ is $-sin(x)$

$(uv)' = -2xsin(x) + 2cos(x)$

How do you find the derivative of 2x cos(x)2xcos(x)2x cos(x)?