Definition of the derivative
I can't get anywhere with this question, any help would be awsome:
f(x) = srt(3x+1)
find f'(x) using ONLY the definition of the derivative (no power laws etc)
f'(x) = lim [h->0] [f(x+h) - f(x)]/(h)]
= lim [h->0] [sqt(3x+3h+1) - sqt(3x+1)]/h
From here I cannot seem to get rid of the h from the bottom?
Re: Definition of the derivative
Multiply top and bottom by the conjugate of . The conjugate is . So, you get:
Now, the numerator simplifies to which is divisible by allowing you to cancel.
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