Hi. I need help with this question (see image). Please show workings.

Mathematics

1 answer:

Tanya [424]3 years ago

7 0

Answer:

$\frac{dy}{dx}$ = 8(2x + 3)³

Step-by-step explanation:

Differentiate using the chain rule

Given

y = f(g(x)) , then

$\frac{dy}{dx}$ = f'(g(x)) × g'(x)

Here

f(x) = $(2x+3)^{4}$ ⇒ f'(x) = 4(2x + 3)³

g(x) = 2x + 3 ⇒ g'(x) = 2

Thus

$\frac{dy}{dx}$ = 4(2x + 3)³ × 2

= 8(2x + 3)³

You might be interested in

What is the solution to system of equation

Alenkinab [10]

The lines are intersected at point (0, -5). So (0, -5) is the solution.

Answer is the third one

(0,-5 )

5 0

3 years ago

A printer prints 36 photos in 8 minutes. How many minutes does it take to print 45 photos? You can use a ratio table to help you

Readme [11.4K]

Answer:

10 minutes

Step-by-step explanation:

First off, you want to figure out how many photos it prints in one minute. 36 divided by 8 is 4.5. So you should add 4.5 to 36, which makes 40.5 in 9 minutes. Add another 4.5 and you get 45 which you should add another minute. That gives you 10 minutes.

Another way is to find how many per minute which would again be 4.5. 45 divided by 4.5 is 10. So once again, 10 minutes.

5 0

3 years ago

Read 2 more answers

Amy spent $60 at the store

Margarita [4]

Answer: 15

Step-by-step explanation: You do 60/4 to get the answer.

6 0

3 years ago

Read 2 more answers

27^x = 9^x − 4 Question 1 options: x = 8 x = 4 x = −4 x = −8