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Iteru [2.4K]
3 years ago
10

Image has question, please answer.

Mathematics
2 answers:
ZanzabumX [31]3 years ago
8 0
The answer is -1/5 5 is wrong
Mazyrski [523]3 years ago
7 0

Answer:

5

Step-by-step explanation:

trust me its five

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Who can help me d e f thanks​
12345 [234]

d)

y = (2ax^2 + c)^2 (bx^2 - cx)^{-1}

Product rule:

y' = \bigg((2ax^2+c)^2\bigg)' (bx^2-cx)^{-1} + (2ax^2+c)^2 \bigg((bx^2-cx)^{-1}\bigg)'

Chain and power rules:

y' = 2(2ax^2+c)\bigg(2ax^2+c\bigg)' (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2-cx)^{-2} \bigg(bx^2-cx\bigg)'

Power rule:

y' = 2(2ax^2+c)(4ax) (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2-cx)^{-2} (2bx - c)

Now simplify.

y' = \dfrac{8ax (2ax^2+c)}{bx^2 - cx} - \dfrac{(2ax^2+c)^2 (2bx-c)}{(bx^2-cx)^2}

y' = \dfrac{8ax (2ax^2+c) (bx^2 - cx) - (2ax^2+c)^2 (2bx-c)}{(bx^2-cx)^2}

e)

y = \dfrac{3bx + ac}{\sqrt{ax}}

Quotient rule:

y' = \dfrac{\bigg(3bx+ac\bigg)' \sqrt{ax} - (3bx+ac) \bigg(\sqrt{ax}\bigg)'}{\left(\sqrt{ax}\right)^2}

y'= \dfrac{\bigg(3bx+ac\bigg)' \sqrt{ax} - (3bx+ac) \bigg(\sqrt{ax}\bigg)'}{ax}

Power rule:

y' = \dfrac{3b \sqrt{ax} - (3bx+ac) \left(-\frac12 \sqrt a \, x^{-1/2}\right)}{ax}

Now simplify.

y' = \dfrac{3b \sqrt a \, x^{1/2} + \frac{\sqrt a}2 (3bx+ac) x^{-1/2}}{ax}

y' = \dfrac{6bx + 3bx+ac}{2\sqrt a\, x^{3/2}}

y' = \dfrac{9bx+ac}{2\sqrt a\, x^{3/2}}

f)

y = \sin^2(ax+b)

Chain rule:

y' = 2 \sin(ax+b) \bigg(\sin(ax+b)\bigg)'

y' = 2 \sin(ax+b) \cos(ax+b) \bigg(ax+b\bigg)'

y' = 2a \sin(ax+b) \cos(ax+b)

We can further simplify this to

y' = a \sin(2(ax+b))

using the double angle identity for sine.

7 0
2 years ago
Last year Alex and a monthly salary of 20 $50 and been earned a monthly salary of $180. This year each of them receive the pancr
almond37 [142]
1.25 x 250=$312.50 as Alex’s new salary.
1.25 x 180=$225 as Ben’s new salary.

Now subtract Ben’s salary from Alex’s salary
312.50 - 225=$87.50

Alex earned $87.50 more in one month than Ben
8 0
3 years ago
Which expression represents "the sum of 5 and b divided by two
DIA [1.3K]

Step-by-step explanation:

<u>Break down the word expression:</u>

The sum of 5 and b divided by two

the sum (+) of 5 and b (5 + b) divided by 2.

<u>Expression:</u>

\frac{(b + 5)}{2}

Parentheses represent that we need to add first, in order to divide the sum by 2.

5 0
3 years ago
If the area of a circle is 90 cm​, what is its​ radius?
Mademuasel [1]

Answer:

r= 5.35

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Which of the measures below represents 4 gallons and 2 pints converted to pints?
N76 [4]
C because there is 32 pints in 4 gallons
3 0
2 years ago
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