Given:
Consider the completer question is "Find the derivative
for
."
To find:
The derivative
.
Solution:
Chain rule: 
Quotient rule: ![\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdx%7D%5Cdfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%3D%5Cdfrac%7Bg%28x%29f%27%28x%29-f%28x%29g%27%28x%29%7D%7B%5Bg%28x%29%5D%5E2%7D)
We have,

Differentiate with respect to x.

Using chain rule and quotient rule, we get




Therefore, the required answer is
.
Answer:
QUESTION:
How do we show that two lines are parallel when using slope? How do we show they are perpendicular when using slope?
ANSWER:
<u><em>How to determine if a line is a parallel perpendicular or neither?</em></u>
The slopes of parallel lines are equal, and the slopes of perpendicular lines are opposite reciprocals. This is a worked example of determining whether given lines are parallel or perpendicular.
Step-by-step explanation:
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Answer:
-80x + 24 (A)
Step-by-step explanation:
To solve this, we need to break the brackets. This is done by multiplying -8 to 10x and -3 to give us our final answer of -80x + 24.
So, the answer is A.