All categories

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))

You might be interested in

When Jeremy made 8 black and white copies and 2 color copies at a copy shop, the cost was $1.20. When he made 10 black and white

marshall27 [118]

I think it’s A and it’s B at the most but still...A

5 0

3 years ago

Gina bought 2.5 pounds of peaches that cost $1.38 per pound at the grocery store. Amy went to the local farmer’s market and purc

patriot [66]

Gina spent $3.45 in total. amy spent $3.43 in total. so gina spent more money and she spent 2 cents more

4 0

2 years ago

Read 2 more answers

The population of a particular city is given by the function P(t) = 27,400(1.07)t, where t is the time in years and P(t) is the

otez555 [7]

Answer:

27,400 is the current population

7% is the rate of increase

The new size is:

38,430 is the population if t is an exponent

146,590 is t is NOT an exponent in the formula you typed

Step-by-step explanation:

To find the population in a future year, use the formula:

$P(t) = 27,400(1.07)t$

Substitute the value t=5 to find the population in 5 years.

$P(t) = 27,400(1.07)t\\P(t) = 27,400(1.07)(5)\\P(t) = 146,590$

Or if the equation is supposed to have t as an exponent then look below:

$P(t) = 27,400(1.07)^t$

Substitute the value t=5 to find the population in 5 years.

$P(t) = 27,400(1.07)^t\\P(t) = 27,400(1.07)^(5)\\P(t) = 38,430$

This formula is based off the standard formula $A=A_0(1+r)^t$ so r, the rate is 1.07=1+0.07 so r is 7%.

$A_0$ is the starting population which is 27,400 here.

4 0

3 years ago

A florist needs several pieces of ribbon that are 5 and 1/2 inches long if she begins with a piece of ribbon that is 264 inches

dimaraw [331]

Answer:

Step-by-step explanation:

(264 in)/(5.5 in/piece) = (264/5.5) pieces = 48 pieces

_____

Division is the usual shortcut for repeated subtraction. You could subtract 5.5 from 264 until you get to zero. You would have to do 48 subtractions. It is easier to divide 264 by 5.5 to see how many times it goes.

8 0

3 years ago

I need the answer quick pls!!!

Eddi Din [679]

I don’t know sorry
I I don’t know sorry

5 0

3 years ago

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

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