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Chapter 2: Q 23. (page 222)

Find the derivatives of the functions:f(x)=exx2+3x-1

Short Answer

Expert verified

The required answer isx2+3x-1ex+ex2x+3.

Step by step solution

01

Step 1. Given information. 

The given function is:f(x)=exx2+3x-1

02

Step 2. Find the derivative of the given function.

f(x)=exx2+3x-1f'(x)=ddxexx2+3x-1=x2+3x-1ddxex+exddxx2+3x-1=x2+3x-1ex+ex(2x+3)

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Most popular questions from this chapter

State the chain rule for differentiating a composition g(h(x))of two functions expressed

(a) in 鈥減rime鈥� notation and

(b) in Leibniz notation.

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

f(x)=x-12(x2-1)3

In Exercises 69鈥�80, determine whether or not fis continuous and/or differentiable at the given value of x. If not, determine any left or right continuity or differentiability. For the last four functions, use graphs instead of the definition of the derivative.

fx=x2,ifx鈮�12x-1,ifx>1,x=1

Use the definition of the derivative to find f'for each function fin Exercises 39-54

role="math" localid="1648290170541" f(x)=x-1x+3

Use the definition of the derivative to find f'for each function fin Exercises39-54

f(x)=21-x
See all solutions

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