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I am Lyosha [343]
3 years ago
11

Find the derivative of F(x)=-x^4+4x^3+ 70 for 0<=x<=3

Mathematics
1 answer:
timofeeve [1]3 years ago
8 0

Answer:

  -4x^3 +12x^2 for 0 < x < 3

Step-by-step explanation:

The power rule is appropriate:

  (d/dx)x^n = n·x^(n-1)

This is applied to each of the terms.

  F'(x) = -(4·x^3) +4(3x^2) +0

  F'(x) = -4x^3 +12x^2 . . . . for 0 < x < 3

__

The derivative is not defined at the endpoints of the interval, so F'(x) is only defined on (0, 3), not [0, 3].

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Can you guys help me please as much as you can ^^
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Answer:

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This is your answer! I know it wasn’t one of the options you provided, but I’m pretty sure that this is the answer.

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