All categories

2 years ago

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

Mathematics

1 answer:

bazaltina [42]2 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))

You might be interested in

What do 89/90 equal but not as a decimal or a percent as a fraction HELP ME

sergeinik [125]

Answer:

it equals 89/90

Step-by-step explanation:

the gcf of 89, 90 is 1, so the fraction can not be simplified. The answer is 89/90.

3 0

2 years ago

If you draw a card with a value of 4 or less from a standard deck of cards, I will pay you 165$ if not your pay me $45. (Aces ar

jekas [21]

Answer: The required expected value is $3.46.

Step-by-step explanation:

Since we have given that

Number of value of 4 or less are

2,3,4

So, there are 12 in numbers.

So, probability would be

$\dfrac{12}{52}$

Since Aces are considered as the highest card in the deck.

So, remaining probability would be

$\dfrac{40}{12}$

Amount paid or value of 4 or less = $165

Amount not paid for other case = $45

So, the expected value would be

$\dfrac{12}{52}\times 165-\dfrac{40}{52}\times 45\\\\=\dfrac{1980}{52}-\dfrac{1800}{52}\\\\=\dfrac{180}{52}\\\\=3.46$

Hence, the required expected value is $3.46.

7 0

2 years ago

The temperature at 6.00 am was - 12 the temperature increased by 1/2 each hour for 6 hours what was the temperature in degrees F

Illusion [34]

Answer: -9 degrees Fahrenheit

Step-by-step explanation:

Given: Temperature at 6:00 AM = -12 degrees Fahrenheit

Temperature increased each hour = $\dfrac12$ degrees Fahrenheit

Temperature increase in 6 hours = $6\times\dfrac12=3\text{ degrees Fahrenheit}$

Temperature at noon = Temperature at 6:00 AM+Temperature increase in 6 hours

= -12+3 degrees Fahrenheit

= -9 degrees Fahrenheit

Hence, the temperature in degrees Fahrenheit at noon= -9 degrees Fahrenheit

8 0

2 years ago

a machine takes 4.2 hours to make 7 parts. at that rate how many parts can the machine make in 28.8 hours

Karo-lina-s [1.5K]

In 1 hour, a machine could make:
$7 \div 4.2$
parts
In 28.8 hours, that machine make
$7 \div 4.2 \times 28.8 = 4.8$
parts

6 0

3 years ago

Read 2 more answers

You may be big, but you ain't bad. THE BOULDER is gonna win this, by a LANDSLIDE.

yanalaym [24]

Answer:lol

Step-by-step explanation:

hahaha

7 0

2 years ago

Read 2 more answers

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

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