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Find the derivative of

You can treat
y as a composite function of
x:

so use the chain rule to differentiate
y:

The first derivative is
1/u, and the second one can be evaluated by applying the quotient rule:

Multiply out those terms in parentheses:

Substitute back for


Simplifying that product, you get

∴

I hope this helps. =)
Tags: <em>derivative composite function logarithmic logarithm log trigonometric trig secant tangent sec tan chain rule quotient rule differential integral calculus</em>
Answer:
(3.5, 4.8)
Step-by-step explanation:
2.6 - 1.7 = 0.9, 2.6 + 0.9 = 3.5
3 - 1.2 = 1.8, 3 + 1.8 = 4.8
Answer: Let x = amount Linda spent.
x=y-$18
Step-by-step explanation:
Answer:
C. 300
Step-by-step explanation:
EFG and EG is the total distance around the circle
EFG + EG = 360 degrees
EFG + 60 = 360
Subtract 60 from each side
EFG +60-60 = 360-60
EFG = 300
Step-by-step explanation:
<u>According to given table we have pairs of points:</u>
- (4, 6.00), (5, 8.25), (6, 10.50)
<u>The rate of change is:</u>
- (8.25 - 6.00)/(5 - 4) = 2.25
or
- (10.50 - 8.25)/(6 - 5) = 2.25
<u>It is 2.25 and the meaning is:</u>