All categories

3 years ago

Find the derivative of the function

Mathematics

1 answer:

Sav [38]3 years ago

3 0

Hello from MrBillDoesMath!

Answer:

27 x^2 sqrt(x^3) sin(x^3) - 9/2 sqrt(x^1/2) sin(x^1/2)*x^(-1/2)

Discussion:

Let f(t) - 9 sqrt(t) sin(t), then

y' = f(x^3) * d(x^3)/dx - f(sqrt(x)) * d(x^1/2)/dx

= (9 sqrt(x^3)sin(x^3)) * 3x^2 - (9 sqrt(x^1/2)sin(x^1/2)) * (1/2) x^-(1/2)

= 27 x^2 sqrt(x^3) sin(x^3) - 9/2 sqrt(x^1/2) sin(x^1/2)*x^(-1/2)

Hope I didn't make a "bozo" error differentiating things!

Thank you,

MrB

You might be interested in

How to solve this help pls

Valentin [98]

Answer:

$2x^{2} +\frac{7}{x}$

Step-by-step explanation:

divide each by x

7 0

3 years ago

A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the prob

UkoKoshka [18]

Answer:

The probability that 8 mice are required is 0.2428.

Step-by-step explanation:

Given : A scientist inoculates mice, one at a time, with a disease germ until he finds 3 that have contracted the disease. If the probability of contracting the disease is two sevenths.

To find : What is the probability that 8 mice are required? The probability that that 8 mice are required is nothing ?

Solution :

Applying binomial distribution,

$P(X=r)=^nC_r p^rq^{n-r}$

Where, p is the probability of success $p=\frac{2}{7}$

q is the probability of failure q=1-p, $q=1-\frac{2}{7}=\frac{5}{7}$

n is total number of trials n=8

r=3

Substitute the values,

$P(X=3)=^8C_3 (\frac{2}{7})^3 (\frac{5}{7})^{8-3}$

$P(X=3)=\frac{8!}{3!5!}\times \frac{8}{343}\times (\frac{5}{7})^{5}$

$P(X=3)=\frac{8\times 7\times 6}{3\times 2\times 1}\times \frac{8}{343}\times \frac{3125}{16807}$

$P(X=3)=0.2428$

Therefore, the probability that 8 mice are required is 0.2428.

5 0

4 years ago

-2/5 - 4/5 + -9/10 = ???<br><br> Please help, will mark brainliest for answer with an explanation

NeX [460]

Answer:

Step-by-step explanation:

-2/5 - 4/5 + -9/10

= -2/5 - 4/5 - 9/10

= {-2(2) -4(2) - 9)/10

= (-4 - 8 - 9)/10

= -21/10

= -2 1/10

5 0

3 years ago

Pattie is itemizing deductions on her federal income tax return and had $4800

muminat

Answer: 1500

Step-by-step explanation:

6 0

3 years ago

Betsy sells laptops at an electronics store. She earns $180 a week, plus $15 for every laptop she sells. Betsy needs to earn at

lukranit [14]

Answer:

15x + 180 ≥ 900

x ≥ 48

Step-by-step explanation:

x = amount of laptops needed to sell.

Equation:

15x + 180 ≥ 900

15x ≥ 720

x ≥ 48

Check:

15(48) + 180 = 900

720 + 180 = 900

900 = 900 (It's good, she needs to make at least 900, so she needs to sell at least 48 laptops).

6 0

3 years ago