SOLUTION: Hi, can someone help me with this question please? I'm trying hard to put the formula the correct way but I'm not sure w(x)=(e^x-11 ln⁡x+340x^5)/(7x^3-32e^x+5 ln⁡x ) What

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Question 1201323: Hi, can someone help me with this question please? I'm trying hard to put the formula the correct way but I'm not sure
w(x)=(e^x-11 ln⁡x+340x^5)/(7x^3-32e^x+5 ln⁡x )
What's the rule and what are three steps that can be applied when differentiating?
Answer by math_tutor2020(3816) (Show Source):
You can put this solution on YOUR website!

Whenever dealing with complicated formulas, it helps to break things up into smaller pieces.

where

We'll need the derivatives of the functions f(x) and g(x) separately.

Let me know if you need me to go over the derivative rules.

I'll rewrite each fraction of the form a/b into ab^(-1)

Use the quotient rule to apply the derivative to w(x)

Things spiral out of hand by the third step.
You can optionally expand things out and combine like terms.
But it's probably better to leave it as it is.