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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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C.

Step-by-step explanation:

The only thing to do here is just check all of the answers.

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Graph with filled in circles at d = 0 and d = 2, shading in between

==========================================

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So basically d can be anything between d = 0 and d = 2, including both endpoints. This means 0 \le d \le 2

We use filled in circles for both endpoints to show to the reader "include these endpoints". Shading is done in between to show the entire solution set of possible d values. For instance d = 1 is in that region so it is possible to have this solution. Something like d = 4 is outside the region and not possible.

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