3 years ago

Given: cos(2x)=-1/9 Angle x is in quadrant I. Find: cos(x)

Mathematics

1 answer:

sergey [27]3 years ago

5 0

My opinion about this answer is 7

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

Nutka1998 [239]

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

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

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

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