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enyata [817]
3 years ago
15

Can someone help me

Mathematics
1 answer:
True [87]3 years ago
4 0

Answer:

Step-by-step explanation: dont work sorry

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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.

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3 years ago
Buying a new car can create a financial challenge because car
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If you get behind on a payment in messes you up
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The line segment joining the points A(2,1) and B(5,-8) is trisected at the points p and q such that p is nearer to A. If p also
SpyIntel [72]

Answer:

  k = -8

Step-by-step explanation:

The location of P is ...

  P = (2A+B)/3 = (2·2+5, 2·1-8)/3 = (3, -2)

Putting this point into the equation for the line, we have ...

  2(3) -(-2) +k = 0

  8 +k = 0

  k = -8

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3 years ago
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A mountain climber ascends a mountain to its peak. The peak is 14,020 ft above sea level. The climber then descends 260 ft to me
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The answer to that is 25 so the answer is b
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3 years ago
I need help on this question
gayaneshka [121]

Answer:

the answer is letter D you reflex over the x axis which is he middle line, so the shape will be mirrored, then you would translate it to the right (move to the right) to be in the same place as Z

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