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victus00 [196]
3 years ago
6

Use logarithmic differentiation to find the derivative with respect to x of the function y= (sin x)^lnx

Mathematics
1 answer:
Helga [31]3 years ago
4 0
Logarithmic differentiation means tAke logarithm of both sides to make the function easier to find the derivative.

y = (sinx)^lnx

ln(y) = ln((sinx)^lnx)

power rule logarithm

ln(y) = ln(x) ln(sinx)

Take derivative

y'/y = ln(sinx)(1/x) + ln(x) cosx/sinx

multiply both sides by y

y' = y( ln(sinx)/x + ln(x)cotx )

remember y = (sinx)^lnx
sub this in for y

y' = (ln(sinx)/x + ln(x)cotx)(sinx)^lnx
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Jamie ordered 24 combo meals for $5 each for a party. The service charge for home delivery for the whole purchase was $6.
Agata [3.3K]
It's easy you do 24 times 5 and then find out the service charge by dividing ratios between the meal and parties and then add 6$ to your total!
7 0
3 years ago
Simplify enter your answer
ioda
Answer: 5/14

Explanation:
19-14=5
3 0
3 years ago
100 is 1/10 of what?
lawyer [7]

\boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }  

<h3>Further explanation  </h3>

The question can be rewritten to \boxed{ \ 100 \ is \ \frac{1}{10} \ of \ M \ }  

This case about equations with one variable. We have to solve this calculation to obtain the value of M. Our task is to isolate the variable M alone at the end of the process on one side of the equation until the variable will be equal to a value on the opposing side.  

Let's arrange it into an equation, i.e., \boxed{ \ 100 \ = \ \frac{1}{10} \times \ M \ }  

Turn this equation over so that the position of variable M is on the left side.  

\boxed{ \ M \times \frac{1}{10} = 100 \ }  

Both sides are multiplied by 10 to isolate M on the left side. The fraction are eliminated.  

\boxed{ \ M \times \frac{1}{10} \times 10 = 100 \times 10 \ }  

M = 1,000  

Therefore, we have calculated the number that was asked.  

Hence \boxed{ \ 100 \ is \ \frac{1}{10} \ of \ 1,000 \ }  

<u>Note:  </u>

The significant thing to carry out is how to manipulate both sides of the equation with the algebraic properties of equality such as:  

  • Adding  
  • Subtracting  
  • Multiplying, and/or  
  • Dividing both sides of the equation with a similar number

And the commutative property of multiplication, i.e., \boxed{ \ a \times b = b \times a \ }

<h3>Learn more  </h3>
  1. The similar case brainly.com/question/106300
  2. The similar case brainly.com/question/96882  
  3. Calculating mass based on density and volume brainly.com/question/4053884

Keywords: 100 is 1/10 of, solve, 1,000, variable, 2/7m - 1/7 = 3/14, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, subtract, multiply, divide, fraction, equate, denominator, numerator, both sides, equal, the opposite, both sides are multiplied by, turn, calculation  

7 0
3 years ago
I will give brainliest<br> -50-c=5c-2<br> Show work pleasee
Lilit [14]

Answer:

- 8

Step-by-step explanation:

Step 1:

- 50 - c = 5c - 2     Equation

Step 2:

- 50 = 6c - 2    Add c on both sides

Step 3:

- 48 = 6c   Add 2 on both sides

Step 4:

- 48 ÷ 6     Divide

Answer:

c = - 8

Hope This Helps :)

6 0
3 years ago
Read 2 more answers
What is (6 532/1000kg + 7,278g + 5kg 166g) x 8? ​
Arisa [49]

Answer:

151.80800 kilograms

Step-by-step explanation:

7 0
2 years ago
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