- #1

- 13

- 0

## Homework Statement

If P(x)=x^(1/2)

show that P(x+h)-P(x)=h/[(x+h)^(1/2)+ x^(1/2)]

## Homework Equations

## The Attempt at a Solution

pls help me. I don't have any idea of this...

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- Thread starter banana_banana
- Start date

- #1

- 13

- 0

If P(x)=x^(1/2)

show that P(x+h)-P(x)=h/[(x+h)^(1/2)+ x^(1/2)]

pls help me. I don't have any idea of this...

- #2

Cyosis

Homework Helper

- 1,495

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Try multiplying by:

[tex]\frac{\sqrt{x+h}+\sqrt{x}}{\sqrt{x+h}+\sqrt{x}}[/tex]

[tex]\frac{\sqrt{x+h}+\sqrt{x}}{\sqrt{x+h}+\sqrt{x}}[/tex]

- #3

- 13

- 0

Try multiplying by:

[tex]\frac{\sqrt{x+h}+\sqrt{x}}{\sqrt{x+h}+\sqrt{x}}[/tex]

Will i going to substitute it on the x variable? I don't know where it needs to be multiplied.

- #4

HallsofIvy

Science Advisor

Homework Helper

- 41,833

- 963

First form P(x+h) by replacing x with x+ h. Then subtract P(x) from that. That's what "P(x+h)- P(x)" means! Cyanosis is suggesting that you can get the final form you want by multiplying by

[tex]\frac{\sqrt{x+h}+\sqrt{x}}{\sqrt{x+h}+\sqrt{x}}[/tex]

- #5

- 13

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tnx for the explanation. :)

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