All categories

2 years ago

Find the derivative of y = 1/ (3x^3) with steps

Mathematics

1 answer:

Ganezh [65]2 years ago

6 0

Answer:

$- 9 {x}^{ - 4}$

Step-by-step explanation:

$y = \frac{1}{ {3x}^{3} } = {3x}^{ - 3}$

$y = < - 3 \times 3 > {x}^{ - 3 - 1} \\ = - 9 {x}^{ - 4}$

You might be interested in

If your favorite drones original price was $1,400, what would the price be if it were 73% off?

choli [55]

The drone would be would be $378

8 0

3 years ago

Read 2 more answers

You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

If d is the midpoint of the segment AC

3241004551 [841]

Based on the statement below, if d is the midpoint of the segment AC, the length of the segment AB is 4.5cm.

<h3>What is the line segment about?</h3>

in the question given,

AC = 3cm,

Therefore, AD and DC will be = 1.5cm segments each.

We are given C as the midpoint of segment DB.

So CB = 1.5cm.

The representation of the line segment is:

A-----------D------------C-------------B

1.5 1.5 1.5

Since AD, DC and CB are each 1.5cm segments. Then the equation will be:

= 1.5 + 1.5 + 1.5

= 4.5

Therefore, The length of the segment AB is 4.5cm.

See full question below

If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm.

Learn more about midpoint from

brainly.com/question/10100714

#SPJ1

3 0

1 year ago

A car averaged 48 miles per hour traveling 672 miles from Washington to Orlando. How long was the trip?

lora16 [44]

14 hours
672 miles / 48 mph = 14 hours total

4 0

3 years ago

Read 2 more answers

When we reject the null hypothesis, we would expect the variance ratio, over the long run, to be:_________

FinnZ [79.3K]

Answer:

Cuando rechazamos la hipótesis nula, esperaríamos que la razón de varianza, a largo plazo, sea: <u>mayor al valor crítico.</u>

Step-by-step explanation:

5 0

2 years ago