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german
2 years ago
7

Differentiate the following equation

Mathematics
1 answer:
Bingel [31]2 years ago
4 0

Answer:

\frac{dy}{dx} = \frac{4}{1-x}

Step-by-step explanation:

    y = 3 - 4ln(1 - x)

⇒ \frac{dy}{dx} =3\frac{d}{dx} -4ln(1-x)\frac{d}{dx}

⇒ \frac{dy}{dx} =0 -4ln(1-x)\frac{d}{dx}

⇒ \frac{dy}{dx} =0 -4(\frac{1}{1-x})\times-1

⇒ \frac{dy}{dx} = \frac{4}{1-x}

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The product of a number and -8 gives eight times the sum of that number and 36. Find that number
Viefleur [7K]

Answer:

-18

Step-by-step explanation:

Let x be our number. First we have to write our equation.

The product of a number and -8 is represented as -8x (-8 multiplied by x). Remember that 'product' signifies multiplication.

The result is eight times the sum of x and 36. This is represented as 8(x + 36). We add x and 36 first because 8 has been multiplied by the sum of those two numbers.

So our equation is:

-8x = 8(x + 36)

We can now solve for x. First, expand the bracket.

-8x = 8x + 288

Next, subtract 8x from both sides. This will give us only one term containing x, which will make it easier to solve.

-8x - 8x = 8x + 288 - 8x

-16x = 288

Divide both sides by -16

x = -18

3 0
3 years ago
I WILL MARK YOU BRAINLIEST IF YOU ANSWER
liberstina [14]

Answer:

29.25 Pound sterling

6 0
3 years ago
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The base of a pyramid is a square whose perimeter is 936936 m. what is the length of each side of this​ square?
djverab [1.8K]
936936 is the perimeter and perimeter of a square is 4 times the length of one of the sides. therefore, you divide 936936 by 4 and get your answer, which is 234234.
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3 years ago
A sphere has a radius of 1.5 inches.
Schach [20]
V = (4/3)×3.14×(1.5^3)
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3 years ago
Find g'​(t) for the function ​g(t) = 7/t^4
Alex17521 [72]

The differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

<h3>What is differentiation?</h3>

The method of determining the derivative, or rate of change, of a function in mathematics.is termed as the differentiation.

Given that:-

g(t)= \dfrac{7}{t^4}

The derivative will be calculated as:-

g'(t)=7   \dfrac{d}{dt}(t^{-4})\\\\\\g'(t)=7\times (-4t^{-5})\\\\\\g'(t)=\dfrac{-28}{t^5}

Therefore the differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵

To know more about derivatives follow

brainly.com/question/954654

#SPJ1

3 0
2 years ago
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