3 years ago

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

1 answer:

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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