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lubasha [3.4K]
3 years ago
13

tle="\left \{ {{y=24} \atop {x=2}} \right." alt="\left \{ {{y=24} \atop {x=2}} \right." align="absmiddle" class="latex-formula">
Mathematics
2 answers:
puteri [66]3 years ago
5 0

Answer:

huh?.............

Step-by-step explanation:

im not smart

Vitek1552 [10]3 years ago
3 0

Please post your question fully !!

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For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th
alexira [117]

Answer:

The inner function is h(x)=4x^2 + 8 and the outer function is g(x)=3x^5.

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

Step-by-step explanation:

A composite function can be written as g(h(x)), where h and g are basic functions.

For the function f(x)=3(4x^2+8)^5.

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have 4x^2+8 inside parentheses. So h(x)=4x^2 + 8 is the inner function and the outer function is g(x)=3x^5.

The chain rule says:

\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)

It tells us how to differentiate composite functions.

The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

     outside function: g(x)=3x^5

     inside function: h(x)=4x^2 + 8

The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

3 0
3 years ago
Simplify: <br> 3(n-2) <br><br> whats the answer?
Pie

Answer: 3n-6

Step-by-step explanation: You have to use the distributive property. 3 times n is 3n and 3 times -2 is -6.

3 0
3 years ago
Megan works at Amazon’s warehouse. She is responsible for packing boxes into trucks for shipment. Each truck can hold 22 boxes,
Leokris [45]

Answer: Her estimate is incorrect because she has to have 25 trucks to be able to ship all her boxes.

Step-by-step explanation: Divide 539 by 22 and if there is a remainder then you need to have one more because you cant take half a truck.

539/22=24.5. Since there is a remainder, you will need 25 trucks total

8 0
2 years ago
I need help with this assignment.
Gelneren [198K]
2. Definition of supplementary angles
I’m not too good with proofs but hopefully at least one answer helped lol sorry
8 0
3 years ago
What is the area in square inches of this quadrilateral
Lerok [7]

Answer:

160 in²

Step-by-step explanation:

20 * 16 / 2

if we wouldn't devide with 2, we would calculate the rectangle around the quadrilateral

7 0
3 years ago
Read 2 more answers
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