How do you differentiate $5sinx+x^2$ ?

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Answer 1 · 2016-10-15T08:41:50

$d/(dx)5sinx+x^2=5cosx+2x$

Since the curve consists of two parts which are added together, they can be independently differentiated.

$d/(dx)5sinx=5cosx->$ the derivative of $sinx$ is $cosx$
$d/(dx)x^2=2x->$ power rule

Adding the two together,

$d/(dx)5sinx+x^2=d/(dx)5sinx+d/(dx)x^2$

$=5cosx+2x$

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