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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>
5/12 hour = 1 piano solo's
15/12 hour = 3 piano solo's
Simplifying 15/12 hours we get:
<u>1.25 hours also known as 1 hour 15 minutes</u>
Answer:
20
Step-by-step explanation:
16=1 2/10R + -8
16+8= 12/10R
24=12/10R
R=20
1/40 = .025, just multiply this by 21 and you have your answer
.525
Answer:
D. 11.6 cm
Step-by-step explanation:
The missing length of the right angled triangle can be calculated using Pythagorean Theorem as shown below:

Where,
a = x cm
b = 11 cm
c = 16 cm
Thus:






(nearest tenth)