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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)=53x4-13+3x-1100

Short Answer

Expert verified

The required answer is10053x4-13+3x-199180x33x4-12+3

Step by step solution

01

Step 1. Given Information  

The given function is f(x)=53x4-13+3x-1100

02

Step 2. Calculation   

Differentiate both the sides with respect tox, we get,

f'(x)=ddx53x4-13+3x-1100=10053x4-13+3x-1100-1ddx53x4-13+ddx(3x)-ddx1=10053x4-13+3x-1995(33x4-13-1)ddx(3x4-1)+3=10053x4-13+3x-199153x4-12)(12x3)+3=10053x4-13+3x-199180x33x4-12+3

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