# How do you find the derivative of #f(x)=2/root3(x)+3cosx#?

Here is the answer. Hope it can help you :) Feel free to ask me if you have any questions.

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Please see below.

Use the power rule and the derivative of cosine.

So,

Rewrite the first term to preference.

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To find the derivative of ( f(x) = \frac{2}{\sqrt{3}x} + 3\cos(x) ), you can use the sum and power rules of differentiation. The derivative of ( \frac{2}{\sqrt{3}x} ) is ( -\frac{2}{\sqrt{3}x^2} ), and the derivative of ( 3\cos(x) ) is ( -3\sin(x) ). Therefore, the derivative of ( f(x) ) with respect to ( x ) is:

[ f'(x) = -\frac{2}{\sqrt{3}x^2} - 3\sin(x) ]

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