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Find the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.

f(x)=x+45

Short Answer

Expert verified

The required answer is5x+442x

Step by step solution

01

Step 1. Given Information

The given function isf(x)=x+45

02

Step 2. Calculation

Differentiate both the sides with respect to x, we get,

f'(x)=ddxx+45=5x+45-1ddxx+4=5(x+4)4ddxx+ddx4=5(x+4)412x12-1=5(x+4)412x-12=5(x+4)42x

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