All categories

3 years ago

Defferentiate y=Insin(3x)

Mathematics

1 answer:

Levart [38]3 years ago

3 0

Use the chain rule:

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

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

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

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

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

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

You might be interested in

Richard bought a pair of shoes for $37.00, a tie for $22.00, and a new belt for $17.00. If the sales tax is 7.5%, how much sales

nadezda [96]

It seems to me, that if you were to add the price of all three items together, then multiply by 7.5%, you'd have the answer. Remember that 7.5% = .075 ... in other words, that is the number you would multiply the sum of the items by. Does that help?

8 0

2 years ago

1.9/10 times 3/6 then simplified

givi [52]

1) 0.095
2)0.1875
3)0.3
4)0.21875
5)0.133
6)0.66
7) 0.6
8)0.375

8 0

3 years ago

Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase o

MArishka [77]

See also brainly.com/question/8975313

The growth factor is 1.05.

The increase is (1.05 -1)*100% = 5% per period.

4 0

2 years ago

If nelson invests $5000 for 4 years and earns $600, what is the simple interest rate?

klio [65]

Answer: Simple interest rate = 3%.

Step-by-step explanation: We are given invested amount = $5000.

Number of years of investment = 4 years.

Interest earned = $600.

Simple interest formula.

I = P R T.

Where I is the earned interest, P is the invested amount , R is the rate of interest and T is the time in years.

Plugging values in formula, we get

600 = 5000 × R × 4

600 = 20000R.

Dividing both sides by 20000, we get

$\frac{600}{20000} = \frac{20000R}{20000} .$

0.03 = R.

Multiplying by 100 to convert it in percentage, we get

0.03 × 100 = R

R = 3 %.

4 0

2 years ago

What is the range of the function<br> y=3x+8?

jolli1 [7]

Translation, alternates between

7 0

3 years ago

Read 2 more answers