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3 years ago

Can somebody give me a hand with this?

Mathematics

2 answers:

dezoksy [38]3 years ago

6 0

None of the above..........

kipiarov [429]3 years ago

3 0

The answer is A that is what i think it is

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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

Solve for x. Assume that lines which appear to be tangent are tangent.

stiv31 [10]

Answer:

x = 1

Step-by-step explanation:

In order to solve the given problem, we should have the knowledge of the following property.

Measure of the tangents drawn from external points to a circle are equal.

46x - 1 = 45x

46 x - 45x = 1

x = 1

4 0

3 years ago

Help bro pls broooooo

Debora [2.8K]

Answer:

773 and 869 and 703 on any day

8 0

2 years ago

A jug contains some orange juice. After pouring 240 milliliters of the orange juice into a cup, there are 875 milliliters of ora

zubka84 [21]

Answer:

1,115 mL

Step-by-step explanation:

The original amount of OJ is what we're trying to find, so that will be our variable, x. Now, keep in mind the order of events to write the correct equation. We started with the x amount of OJ, then 240 mL was taken away, to leave us with 875 mL. So, x - 240 = 875. Then we solve this by adding 240 to both sides to get the x alone. This gives us x=1,115 mL!

4 0

3 years ago

In a different dimension, cows have $x+3$ legs, with 3 toes on each leg. Chickens have $2x-4$ legs, with 7 toes on each leg. If

Juli2301 [7.4K]

Answer:

20x-10

Step-by-step explanation:

Cows have $x+3$ legs and 3 toes on each leg, if we want to find the number of toes of ONE cow we have to multiply the legs by the toes giving the following:

$3(x+3) \quad (1)$

But we have two cows so (1) we have to multiply it by 2 giving a total of:

$2(3(x+3))\\6(x+3)\\6x+18 \quad (2)$

By the other hand chickens have $2x-4$ legs and 7 toes on each leg, if we want to find the number of toes we have to multiply the legs by the toes giving the following:

$7(2x-4)\\14x-28 \quad (3)$

To find the total amount of toes we have to add (2) and (3)

$(6x+18)+(14x-28)\\20x-10$

6 0

2 years ago