(Solved) Finding the derivative using the power rule

slimes

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3 years ago

Finding the derivative using the power rule - Solutions

Hi I want to know if these questions are the correct answer? Thanks.
a) y = 5x^0
= 0x^-1
b) y = 4/5x^5 - 3x
= 4x^4 - 3x

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bio_man

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Educator

3 years ago

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slimes Author

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3 years ago

Also, the answer to y = -1/x^5 is y^1 = 5/x^6?

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bio_man

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Educator

3 years ago

Yes

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slimes Author

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3 years ago

Thank you, and my last question is y = 4/√x and the answer to that is y^1 = -2/√x?

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bio_man

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Educator

3 years ago

Quote from: slimes (3 years ago)

Thank you, and my last question is y = 4/√x and the answer to that is y^1 = -2/√x?

No, it's wrong. See my steps:

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slimes Author

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3 years ago

how about -2/√x^ 1 1/2? Is that acceptable?

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bio_man

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Educator

3 years ago

Nooooo, not allowed to write it like that.

Please watch this video pertaining to this:

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slimes Author

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3 years ago

because I did like this:
1) 4/√x
2) 4/ x^1/2
3) -2^-1/2
4) -2/√x^1 2/2 is what I got as I subtracted -1/2 and 1.

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bio_man

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Educator

3 years ago

Quote from: slimes (3 years ago)

because I did like this: 1) 4/√x 2) 4/ x^1/2 3) -2^-1/2 4) -2/√x^1 2/2 is what I got as I subtracted -1/2 and 1.

What happened to the x in step 3?

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bio_man

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#10

Educator

3 years ago

You should learn how to write math equations digitally:

It will make understanding what you're writing a lot easier for both of us

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slimes Author

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#11

3 years ago

Quote from: bio_man (3 years ago)

You should learn how to write math equations digitally:

It will make understanding what you're writing a lot easier for both of us

Sorry, will do that moving forward.

Quote from: bio_man (3 years ago)

Quote from: slimes (3 years ago)

because I did like this: 1) 4/√x 2) 4/ x^1/2 3) -2^-1/2 4) -2/√x^1 2/2 is what I got as I subtracted -1/2 and 1.

What happened to the x in step 3?

I forgot the x! How did I get the exponent wrong for the last step, if I did all of the steps correctly?

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bio_man

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#12

Educator

3 years ago

Not understanding your sequence of events...

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slimes Author

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#13

3 years ago

Sorry I thought I included everything, let me try again. I will watch out next time. Frowning Face

ALSO I wanted to write my steps digitally, but it wouldn't let me copy for some reason.
AFTER step 2) I did 4x^-1/2, then I subtracted -1/2 and basically applied the power rule, which gave me step 3) -2x^-1 1/2
and wrote the final answer as,
-2/ x^ 1 1/2

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