3 years ago

Differentiating a Logarithmic Function In Exercise, find the derivative of the function.

Mathematics

1 answer:

devlian [24]3 years ago

7 0

Answer:

Dy/Dx=x ( 2 ln ( x ) − 1 )/ ln ^2 ( x)

Step-by-step explanation:

We have this function and let's derive it in terms of x.

y =x^2/In x

Dy/Dx=(x^2/In x)'=2/lnx *(x^2)'-(x^2/In x)'=> 2 x *ln ( x ) − x *ln ^2 ( x ) =x ( 2 ln ( x ) − 1 )/ ln ^2 ( x)

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I'm struggling right now because I learned this but I completely forgot how to do it. I need to find the distance between two po

DochEvi [55]

Answer:

12 units

Step-by-step explanation:

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2 years ago

Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea

Varvara68 [4.7K]

Answer: $56,900\left( 0.919\right)^x$

Step-by-step explanation:

Given

Marcos purchased a sailboat for $\$56,900$

Each year the boat will decrease in value by $8.1\%$

After 1 year it is

$\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\$

after another year it becomes

$\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2$

After $x$ years it is

$\Rightarrow 56,900\left( 1-0.081\right)^x$

$\Rightarrow 56,900\left( 0.919\right)^x$

5 0

2 years ago

Let f and g be two functions whose second derivatives are defined. Then (f · g) '' = f · g '' + f '' · g. true or false?

Marianna [84]

I hope this helps you

8 0

3 years ago

Liz and Alana each participate in the home that jump at the track meet Liz’s high jump was 1 meter Alana’s high jump was 132 cen

brilliants [131]

1 meter is 100 centimeters, therefore Alana jumped higher by 32 centimeters.
132-100=32

7 0

3 years ago

408 rounded to the nearest tenth

andreev551 [17]

408 round to the nearest tenth: 410

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2 years ago