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3 years ago

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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lubasha [3.4K]

Answer:

e) 0.14

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that a driver does not have a valid driver's license.

B is the probability that a driver does not have insurance.

We have that:

$A = a + (A \cap B)$

In which a is the probability that a driver does not have a valid driver's license but has insurance and $A \cap B$ is the probability that a driver does not have any of these things.

By the same logic, we have that:

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We start finding these values from the intersection.

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This means that $(A \cap B) = 0.04$

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This means that $B = 0.06$ . So

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So the correct answer is:

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Svetlanka [38]

Answer:

Option A is correct .

Step-by-step explanation:

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

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