We're looking for a scalar function
such that
. That is,


Integrate the first equation with respect to
:

Differentiate with respect to
:

Integrate with respect to
:

So
is indeed conservative with the scalar potential function

where
is an arbitrary constant.
Answer: please post your answer choices and then I can help
Step-by-step explanation:
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You can actually use either the product rule or the chain rule for this one. Observe:
• Method I:y = cos² xy = cos x · cos xDifferentiate it by applying the product rule:

The derivative of
cos x is
– sin x. So you have


—————
• Method II:You can also treat
y as a composite function:

and then, differentiate
y by applying the chain rule:

For that first derivative with respect to
u, just use the power rule, then you have

and then you get the same answer:

I hope this helps. =)
Tags: <em>derivative chain rule product rule composite function trigonometric trig squared cosine cos differential integral calculus</em>
Answer:
Legenth times width
Step-by-step explanation:
Answer:
-35
___
27
Step-by-step explanation:
Start by setting up your pairs (x,y)
-5 & 7 are x
3 & 9 are y
X * X
---------- ÷
Y * Y
(-5, 7)
---------
(3, 9)
-35
-------
27