`f(x) = 6sqrt(x) + 5cos(x)` Find the derivative of the function.

Textbook Question

Chapter 2, 2.2 - Problem 51 - Calculus of a Single Variable (10th Edition, Ron Larson).
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kalau | (Level 2) Adjunct Educator

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Rewrite the function:

`f(x)=6x^(1/2)+5cos(x)`

Take the derivative of the first term by using the power rule and the derivative of the second term.

`f'(x)= 1/2 (6)x^(-1/2)-5sin(x)`

Simplify the first term and eliminate the negative exponent.

The answer is:

`f'(x)= 3/x^(1/2)-5sin(x)`

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