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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:
im sorry I don't know I didn't do stuff like this in school
Less than is subtraction so your answer to "six less than a number is 14" would be
n-6=14
My best guess is the third one. Really sorry if I’m wrong.
Answer:
The answer to your question is 116.53 ft
Step-by-step explanation:
Data
length = 29 ft
width = 21 ft
π = 3.14
Process
1.- Calculate perimeter of the rectangle and subtract 1 length
Perimeter of the rectangle = 2l + 2w - l
Perimeter of the rectangle = 2(29) + 2(21) - 29
= 58 + 42 - 29
= 71 ft
2.- Calculate the perimeter of a semicircle
Perimeter = 2πr/2 = πr
radius = r = 29/2
= 14.5 ft
Perimeter = (3.14)(14.5)
= 45.53 ft
3.- Calculate the total length of the fence
fence = 45.53 + 71
= 116.53 ft