# How do you differentiate f(x)=3sinx+2cosx?

Dec 7, 2016

$f ' \left(x\right) = 3 \cos x - 2 \sin x$

#### Explanation:

Differentiation of $f \left(x\right) \text{ }$ is determined by applying the
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differentiation of the sum.
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Differentiation of a sum is the sum of differentiation.
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$\left(u + v\right) ' = u ' + v '$
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$f ' \left(x\right) = \left(3 \sin x\right) ' + \left(2 \cos x\right) '$
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$f ' \left(x\right) = 3 \cos x - 2 \sin x$