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sammy [17]
3 years ago
9

Can someone explain to me what a “derivative” means? How do you find the derivative of f(x)=x^3+1?

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
4 0
The derivative is the rate of change of a function, basically represents the slope at different points. To find the derivative of the given function you can use the power rule, which means, if n is a real number, d/dx(x^n)= nx^(n-1). This is a simplification of the chain rule based on the fact that d/dx(x)=1. Anyway, this means that d/dx(x^3 + 1)= 3x^2. Here n is 3 and so it is 3*x^(3-1)= 3x^2. The derivative of x^3+1 is 3x^2.

If you are wondering what happened to the 1, for any constant C, d/dx(C)=0.
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Answer:

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Step-by-step explanation:

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The average rate of change will

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(327.68-20.48)/15-11 = 307.2/4 = 76.8

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