- #1

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Derivative of (sq. rt of x)^x

Can anyone help me?

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- Thread starter ssmh
- Start date

- #1

- 1

- 0

Derivative of (sq. rt of x)^x

Can anyone help me?

- #2

djeitnstine

Gold Member

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Use the chain rule, this is simply a function within another function. the outer function just happens to be an exponential. [tex]\frac{d}{dx}f^x=f^x ln(f)[/tex] (if I remember correctly)

- #3

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find f(x) prime, where f(x) = sqrt(x)^x

Before I help you, you need to help me. Tell me what concept you have learned that could

apply to this problem

- #4

HallsofIvy

Science Advisor

Homework Helper

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Use the chain rule, this is simply a function within another function. the outer function just happens to be an exponential. [tex]\frac{d}{dx}f^x=f^x ln(f)[/tex] (if I remember correctly)

No, that's incorrect.

- #5

- 5

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[tex]\frac{d}{dx}[/tex](x

[tex]\frac{d}{dx}[/tex]e

(1/2)(1 + ln(x))e

[tex]\frac{1 + ln(x)}{2}[/tex] * x

- #6

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looks good to me.

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