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3 years ago

Defferentiate y=Insin(3x)

Mathematics

1 answer:

Levart [38]3 years ago

3 0

Use the chain rule:

$y=\ln(\sin(3x))$

$y'=(\ln(\sin(3x)))'$

$y'=\dfrac{(\sin(3x))'}{\sin(3x)}$

$y'=\dfrac{\cos(3x)(3x)'}{\sin(3x)}$

$y'=\dfrac{3\cos(3x)}{\sin(3x)}$

$y'=3\cot(3x)$

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Read 2 more answers

Imagine a deck of 500 cards numbered from 1 to 500. If all the cards are shuffled randomly and you are asked to pick three cards

amm1812

Answer:

P = 1 / 6

Step-by-step explanation:

Given:-

- A deck has 500 cards

- Numbered from 1-500

Find:-

you are asked to pick three cards, one at a time, what's the probability of each subsequent card being larger than the previous drawn card

Solution:-

- Suppose we draw three cards. We don't care what they actually are, irrespective of number.

- Let the three numbers be a, b, c: Such that:

a < b < c.

- The total possible combinations with 3 numbered cards will be:

a b c

b a c

a c b

b a c

b c a

c a b

- We have 6 possibilities for 3 numbered cards. So the probability of of each subsequent card being larger than the previous drawn card would be:

P = 1 / possible combinations

P = 1 / 6

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