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2 years ago

11

Help please, this is due a 10 AM!!!

1 answer:

zhenek [66]2 years ago

3 0

The answer would be C

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Find the derivative dy / dx for y = x^3 - 5x / x^2 - 1

soldier1979 [14.2K]

$Use\\\\\left(\dfrac{h(x)}{g(x)}\right)'=\dfrac{h'(x)g(x)-h(x)g'(x)}{[g(x)]^2}\\\\\text{We have}\\\\h(x)=x^3-5x\to h'(x)=3x^2-5\\\\g(x)=x^2-1\to g'(x)=2x\\\\f(x)=\dfrac{x^3-5x}{x^2-1}\to f'(x)=\left(\dfrac{x^3-5x}{x^2-1}\right)'\\\\=\dfrac{(x^3-5x)'(x^2-1)-(x^3-5x)(x^2-1)'}{(x^2-1)^2}\\\\=\dfrac{(3x^2-5)(x^2-1)-(x^3-5x)(2x)}{(3x^2-5)^2}\\\\=\dfrac{3x^4-3x^2-5x^2+5-2x^4+10x^2}{(x^2-1)^2}\\\\=\dfrac{x^4+2x^2+5}{(x^2-1)^2}\\\\Answer:\ \left(\dfrac{x^3-5x}{x^2-1}\right)'=\dfrac{x^4+2x^2+5}{(x^2-1)^2}$

8 0

3 years ago

WILL MARK BRAINLIEST! JUST ANSWER THESE 2 QUESTIONS!! BRAINLIEST! ! ! ! ! ! !

tatyana61 [14]

Answer:

You got the first one right. The second one should be x<-2

Step-by-step explanation:

It is X<-2 because the arrow points left and the circle is not filled in

(Also can I please have Brainliest, I need it to level up)

4 0

2 years ago

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Fed [463]

The hails 429 bushels each trip

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3 years ago

60% oj juniors in this years classs are male while 40% are female

Dennis_Churaev [7]

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3 years ago

A ship sails 400km in 18hours.how many days will it take to cover 1600km at the same rate?

Nuetrik [128]

Answer:

72 hours

Step-by-step explanation:

Rate =Distance / Time

Rate=400/18=22.222

Time=Distance/ Rate

Time= (1600 x 18)/400 = 72hours

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3 years ago

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