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Chapter 2: Q 32. (page 222)

Find the derivatives of the functions:f(x)=11+e蟺-ln2

Short Answer

Expert verified

The required answer is0.

Step by step solution

01

Step 1. Given information.  

The given function is:f(x)=11+e蟺-ln2

02

Step 2. Find the derivative of the given function.

f(x)=11+e蟺-ln2f'(x)=ddx11+e蟺-ln2

Since the derivatives of the constant term is role="math" localid="1648978915096" 0, so in the given question the terms are all constant term so the derivatives is0.

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Most popular questions from this chapter

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)=1-4x2(3x2+1)9

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 (a) the h鈫�0definition of the derivative and then

(b) the z鈫�cdefinition of the derivative to find f'(c)for each function f and value x=c in Exercises 23鈥�38.

23.f(x)=x2,x=-3

Find a function that has the given derivative and value. In each case you can find the answer with an educated guess and check process it may be helpful to do some preliminary algebra

f'(x)=1-4x6;f(1)=3

Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.

The tangent line to f(x)=x2 atx=-3
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