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HACTEHA [7]
3 years ago
8

If f'(x) = cos(3^x), then the smallest value of x for which f has a relative maximum is:

Mathematics
1 answer:
anastassius [24]3 years ago
8 0

Answer:

A 0.411

Step-by-step explanation:

A graph of f'(x) is negative-going at its first zero-crossing of about x=0.411. Thus, this point where the derivative is zero corresponds to a local maximum.

_____

There are no zero crossings for negative values of x. The curve asymptotically approaches y=1.

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Find the difference quotient and simplify your answer. f(x) = 4x − x2, f(4 + h) − f(4) h , h ≠ 0
Anon25 [30]

The difference quotient and simplification will be    = [4 -h-2x]

The given equation is as follows:   f(x)= 4x - x²

For finding the quotient and further simplification we must follow the following steps:

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

<h3>What is simplification of algebraic operations?</h3>

Getting the functions in their lowest terms is known as simplification.

Brackets will get open and solved further;

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h  

Finally dividing the whole equation with h;

                                = [4 - h - 2x] 

Learn more about algebraic operations,

brainly.com/question/12485460

# SPJ1

7 0
1 year ago
Given the data set (18,14, 12, 14, 11, 11, 19, 20, 16, 11), which statements are correct?
Anuta_ua [19.1K]

The correct statement is that the <u>range of the data is 9</u>

<h3>Range of a data</h3>

The formula for calculating the range of data is expressed as:

Range = Highest value - Lowest value

From the given data

  • Highest value = 20
  • Lowest value = 11

Substituting into the formula

Range = 20 - 11

Range = 9

Hence the correct statement is that the <u>range of the data is 9</u>

Learn more on range here: brainly.com/question/2264373

6 0
3 years ago
What is the square root of 81
Talja [164]
The square root of 81 is 9
6 0
3 years ago
Read 2 more answers
What is the midpoint M of that line segment?
pychu [463]

Answer:

Midpoint = (  (x1+x2)/2 , (y1+y2)/2 )

Step-by-step explanation:

Please upload the line segment otherwise, you can use the equation above to solve for it.

8 0
3 years ago
Read 2 more answers
one x-intercept for a parabola is at the point (-6,0) find the other x-intercept for the parabola defined by this equation y=x^2
Tanya [424]
Hello.

First off, you can factor this equation to find the missing x-intercept.

y = x² + 8x + 12
y = (x + 6)(x + 2)

Then, you can use the zero product property to find the x values.

x + 6 = 0       x + 2 = 0
    - 6  - 6          - 2  - 2
x = -6            x = -2

As an ordered pair: (-6, 0) and (-2, 0)

Thus, your answer is x = -6, -2.
6 0
3 years ago
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