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Verdich [7]
3 years ago
5

Find dy/dx given that y = sin(cos(x))​

Mathematics
1 answer:
bazaltina [42]3 years ago
5 0

Hi there!

\large\boxed{-sin(x)cos(cos(x))}

Use the chain rule:

f(g(x)) = f'(g(x)) · g'(x)

Thus:

dy/dx sin(x) = cos(x)

dy/dx cos(x) = -sin(x)

Use the chain rule format:

f(x) = sin(x)

g(x) = cos(x)

cos(cos(x)) · (-sin(x))

-sin(x)cos(cos(x))

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Use the ratio table to fine the unit rate with the specified units
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Answer:

15.5 miles per gallon

Step-by-step explanation:

31/2=15.5 so its 15.5 miles per gallon or 31 miles with 2 gallons

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2 years ago
Please help me with this
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Chance has 90.72 grams in coins
6 0
3 years ago
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Mamont248 [21]

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12

Step-by-step explanation:

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4 0
2 years ago
PLS HELP ME NOW ITS PYTHAGOREAN THEOREM
rusak2 [61]

Answer:

a =2.2

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2

where a and b are the legs and c is the hypotenuse

a^2+2^2 = 3^2

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To the nearest tenth

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3 0
3 years ago
Which statement describes the end behavior of the exponential function f(x) = 2x – 3?
charle [14.2K]
The <u>correct answer</u> is:

As x→-∞, y→-3.
As x→∞, y→∞.

Explanation:

As our values of x get further into the negative numbers, the value of 2ˣ will approach 0.  This is because raising a number to a negative exponent "flips" the number below the denominator and raises it to a power; we end up with smaller and smaller fractions, eventually so small that they nearly equal 0.  

This will make the value of the function 0-3=-3.

As x gets larger and larger (towards ∞), the value of y, 2ˣ, continues to grow as well.  Since it continues to grow exponentially, we say the value approaches ∞.
3 0
2 years ago
Read 2 more answers
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