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Rashid [163]
3 years ago
6

Need help ASAP giving 25 points

Mathematics
1 answer:
Ket [755]3 years ago
5 0

Answer:

42 inch

Step-by-step explanation:

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If f is a differentiable function, find an expression for the derivative of each of the following functions
almond37 [142]

12a. Answer:  d) x⁶ f'(x) + 6x⁵ f(x)

<u>Step-by-step explanation:</u>

Use the multiplication formula for derivatives:

y = a · b       →     y' = a'b + ab'

<u>y = x⁶ · f(x)     </u>  

a = x⁶          b = f(x)

a' = 6x⁵       b' = f'(x)

<u>y' = a'b + ab'</u>

y' = 6x⁵ f(x) + x⁶ f'(x)

***************************************************************

12b. Answer:  \bold{b)\ y=\dfrac{xf'(x)-9f(x)}{x^{10}}'}

<u>Step-by-step explanation:</u>

Use the division formula for derivatives:

y=\dfrac{a}{b}       →     y' = \dfrac{a'b - ab'}{b^2}

y=\dfrac{f(x)}{x^9}\\\\a=f(x)\qquad b=x^9\\\\a'=f(x)\qquad b'=9x^8\\\\y'=\dfrac{a'b-ab'}{b^2}\\\\y'=\dfrac{x^9f'(x)-9x^8f(x)}{(x^9)^2}\\\\.\ =\dfrac{x^9f'(x)-9x^8f(x)}{x^{18}}\\\\\text{factor out }x^{8}: y'=\dfrac{xf'(x)-9f(x)}{x^{10}}

Note: You can also move the denominator to the top (it will have a negative exponent) and use the multiplication formula for derivatives.

5 0
3 years ago
Which of the following options is an equivalent function to f(x) = 4(3)2x?
Nataliya [291]

Answer: Option D is correct .

Step-by-step explanation:

Since we have given that

f(x)=4(3)2x

f(x)=24x

In option D,

f(x)=4(6x)\\\\f(x)=24x

Otherwise ,

In all other options , there is no other function whose value comes out to be 24x.

Like , in option b,

f(x)=4(9)=36x

which is not equivalent to

f(x)=4(3)2x

Hence, option D is correct.

5 0
3 years ago
Read 2 more answers
Question 25
nydimaria [60]

Answer:

nigгer

Step-by-step explanation:

nigгer

3 0
3 years ago
Average Daily Temperature in August
timurjin [86]

Answer:

The range for the average low temperatures for the states listed in the chart is B) 24.

Step-by-step explanation:

Low temperatures are:

56, 55, 65, 64, 55, 44, 54, 55, 68

First we put them in order from least to greatest

44, 54, 55, 55, 55, 56, 64, 65, 68

Range is maximum - minimum

68 is maximum and 44 is minimum

68 - 44 =

24

Hope this helps you! (:

-Hamilton1757

6 0
3 years ago
Find the area of a triangle with sides a=5, b=8 and c=11
Lynna [10]

Answer:

440

Step-by-step explanation:

5x8=40

40x11=440

Have a good day :P :P

5 0
3 years ago
Read 2 more answers
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