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Lilit [14]
3 years ago
12

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

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