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3 years ago

6

Explain please i dont get it

1 answer:

Jobisdone [24]3 years ago

4 0

Answer:

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F(x)=(lnx)²/2x<br> give f '(x)=??

Alex73 [517]

$f(x)=\frac{(lnx)^2}{2x};\ D_f:x\in\mathbb{R^+}\\\\use:\left[\frac{f(x)}{g(x)}\right]'=\frac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}\\\\f'(x)=\frac{[(lnx)^2]'\cdot2x-(lnx)^2\cdot(2x)'}{(2x)^2}=(*)\\\\\ [(lnx)^2]'=2lnx\cdot\frac{1}{x}=\frac{2lnx}{x}\\\\(2x)'=2\\\\(*)=\frac{\frac{2lnx}{x}\cdot2x-(lnx)^2\cdot2}{4x^2}=\frac{4lnx-2(lnx)^2}{4x^2}=\frac{[4lnx-2(lnx)^2]:2}{4x^2:2}=\frac{2lnx-(lnx)^2}{2x^2}$

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4 years ago

Read 2 more answers

Once inch is equal to about 2.54 how many centimeters are in 32 inche

vitfil [10]

81.28
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8 0

3 years ago

Hello please someone help ASAP???

Margaret [11]

Answer:

d is the correct answer to this question

3 0

3 years ago

There are 72 packs of sugar in a box. Each sugar pack is 9/10 of an ounce. How many ounces are in a box?

mixas84 [53]

9/10 of an ounce is 0.9. 0.9 X 72 = 64.8.

There is 64.8 ounces in a box.

7 0

3 years ago

What is 11/4 times 7/4

AysviL [449]

.:|:. Answer .:|:.

4 13/16

.:|:. Explanation .:|:.

11 / 4 * 7 / 4

11 * 7

4 * 4

77 / 16

Simplify:

4 13/16

<> Eclipsed <>

4 0

3 years ago