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3 years ago

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.

Mathematics

1 answer:

ch4aika [34]3 years ago

3 0

Answer:

The correct answer is The 1st answer choice

Step-by-step explanation:

1st simply the expression

then you'll transform it to get your answer.

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2 years ago

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Answer:

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3 years ago

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KiRa [710]

Answer:

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1 year ago

If f'(0) = 5 and F(x) = f(3x), what is F'(0)?

Llana [10]

Answer:

$\displaystyle F'(0) = 15$

Step-by-step explanation:

We are given that:

$f'(0) = 5 \text{ and } F(x) = f(3x)$

And we want to find F'(0).

First, find F(x):

$\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]$

From the chain rule:

$\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}$

Then:

$\displaystyle \begin{aligned} F'(0) & = 3f'(3(0)) \\ \\ & = 3f'(0) \\ \\ & = 3(5) \\ \\ & = 15\end{aligned}$

In conclusion, F'(0) = 15.

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2 years ago

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2 years ago

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