All categories

3 years ago

Find the derivative of y= (3x –1) 2with respect to x.

Mathematics

1 answer:

mixas84 [53]3 years ago

6 0

Answer:

dy/dx = 18x – 6

Step-by-step explanation:

y = (3x – 1)²

Take derivative using power rule and chain rule:

dy/dx = 2 (3x – 1) × 3

dy/dx = 6 (3x – 1)

dy/dx = 18x – 6

You can check this answer by simplifying y before taking the derivative.

y = 9x² – 6x + 1

dy/dx = 18x – 6

You might be interested in

A card is drawn at random from a standard deck of 52 cards. Find the following conditional probabilities. a) The card is a diam

Inga [223]

Answer:

$a.\frac{1}{13}\\b.\frac{1}{2}\\c.\frac{1}{13}\\d.\frac{1}{13}$

Step-by-step explanation:

P(A|B) = P(A and B) / P(B)

Total number of cards = 52

Let A denotes the event that the card is a diamond and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}\\=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

Let A denotes the event that the card is red and B denotes the card is diamond.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{4}{52}}\\=\frac{1}{2}$

Let A denotes the event that the card is nine and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

Let A denotes the event that the card is a king and B denotes the card is a face card.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{4}{52}}{\frac{12}{52}}\\=\frac{1}{13}$

7 0

3 years ago

Write an equation for the exponential function represented in the table below

leva [86]

Y- mx+c
...................

5 0

3 years ago

What is a way to rename 1 thousands 2 hundred

qwelly [4]

1200 ... i think this you mean

8 0

3 years ago

A construction company orders 6200 new light bulbs for a new office building. If the probability of a light bulb being defective

liberstina [14]

$|\Omega|=6200\\
P(A)=0.4\%=0.004\\
|A|=?\\\\
|A|=|\Omega|\cdot P(A)=6200\cdot0.004=24.8\approx25$

3 0

3 years ago

7. Which of these polynomial functions gives the number of lights in a hexagonal rig (six sides) with n rows? (Hint: Look for a

morpeh [17]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below are the answers:

<span>7. C. H(n) = ½n^2 + n + 1
</span>8. D. As the number of rows increases, the hexagonal rig gets closer to having twice as many lights as the square rig.

3 0

3 years ago

Find the derivative of y= (3x –1) 2with respect to x.​

Find the derivative of y= (3x –1) 2with respect to x.