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AfilCa [17]
3 years ago
15

Differentiate the following function. y=x(x^2+5)^2

Mathematics
1 answer:
dalvyx [7]3 years ago
8 0
First, expand to make it easier
y=x(x^2+5)(x^2+5)
y=x(x^4+10x^2+25)
y=x^5+10x^3+25x
differentiation
y'=5x^4+30x^2+25 is the derivitive
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The price of a cup coffee was 2.40 yesterday. Today, the price fell to 2.15 find the percentage decrease. Round the answer to th
irakobra [83]
ANSWER

The percentage decrease is 10.4%.

EXPLANATION

To calculate percentage decrease, use the formula,

Percentage decrease

= \frac{new \: price - old \: price}{old \: price} \times 100\%

Yesterday the price of coffee was 2.40. This is the old price.

Today the price is 2.15. This is the new price.

= \frac{2.15 - 2.40}{2.40} \times 100\%

= \frac{ - 0.25}{2.40} \times 100\%

= - 0. 10416667 \times 100\%

= - 10.416667\%

To the nearest tenth, we have:

- 10.4\%

Therefore the percentage decrease is 10.4%.
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3 years ago
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