Mathematics: Would you need to use the chain rule to find the derivative of this function?

I know this is late but the answer would be 1.5...

Would you need to use the chain rule to find the

wbrandi118

30.01.2022

TRUE. We need to use the chain rule to find the derivative of the given function.

Step-by-step explanation:

Chain rule to find the derivative,

We have to find the derivative of F(x)

If F(x) = f[g(x)]

Then F'(x) = f'[g(x)].g'(x)

Given function is,

y = $\sqrt{2x+3}$

Here g(x) = (2x + 3)

and f[g(x)] = $\sqrt{2x+3}$

$\frac{dy}{dx}=\frac{d}{dx}(\sqrt{2x+3}).\frac{d}{dx} (2x+3)$

y' = $\frac{1}{2}(2x+3)^{(1-\frac{1}{2})}.(2)$

= $(2x+3)^{-\frac{1}{2}}$

y' = $\frac{1}{\sqrt{2x+3}}$

Therefore, it's true that we need to use the chain rule to find the derivative of the given function.

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