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zhenek [66]
3 years ago
12

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

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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

a)

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}

b)

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}

c)

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}

d)

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}

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