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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 list the data sets
Step-by-step explanation:
Answer: 
Step-by-step explanation:
The area of a rectangle can be calculated with the formula:

l: the length of the rectangle.
w: the width of the rectangle.
The area of the remaning wall after the mural has been painted, will be the difference of the area of the wall and the area of the mural.
Knowing that the dimensions of the wall are
by
, its area is:

As they are planning that the dimensions of the mural be
by
, its area is:

Then the area of the remaining wall after the mural has been painted is:

Answer:
18.66521%
Step-by-step explanation:
It seems all of the numbers are duplicated, the correct number should be 7%, 14 corner kicks, and 2 opportunities.
The team has 7%(x=0.07) chance to score so that means the chance to not scoring will be: y= 1-x = 100%-7%= 93%. There are 14 opportunities and we want to know the probability to get exactly 2 scores. The calculation will be:
P(x=2)= 2C14 * x^2 * y^12
P(x=2)=91 * 0.07^2 * 0.93^12= 18.66521%
An equilateral triangle has 3 congruent sides so the 2 expressions above are equal
3x - 9= 23 - 5x
And then you solve for x
-22=-2x
X=11