Answer:
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 = [tex]\sqrt{2x+3}[/tex]
Here g(x) = (2x + 3)
and f[g(x)] = [tex]\sqrt{2x+3}[/tex]
[tex]\frac{dy}{dx}=\frac{d}{dx}(\sqrt{2x+3}).\frac{d}{dx} (2x+3)[/tex]
y' = [tex]\frac{1}{2}(2x+3)^{(1-\frac{1}{2})}.(2)[/tex]
= [tex](2x+3)^{-\frac{1}{2}}[/tex]
y' = [tex]\frac{1}{\sqrt{2x+3}}[/tex]
Therefore, it's true that we need to use the chain rule to find the derivative of the given function.
