I'm not finding correctly the derivative of:
I do the following:
lim h-> 0:
Then, of course, when I substitute "0" for "h", I get an answer of 0.
The correct answer is:
Where did I go wrong?
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In the second line of your workings...
Is there a simpler way to solve this while still using the definition of the derivative? I'm sure I did this before without expanding it the way you have, I just don't remember how.
Ah, found it. I used the alternate definition of the derivative to do it.
Works out to:
Which solves my problem as well as the derivative from the standard definition.
Thanks for the help!
Originally Posted by JennyFlowers Is there a simpler way to solve this while still using the definition of the derivative?
Right, but I wasn't allowed to find this derivative using the power rule. I was required to find it using either the definition or the alternate definition!
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