SOLUTION: Find the particular antiderivative that satisfies the following conditions: f''(x) = 12 x^3 - 2; \quad f(0) = 4, \quad f'(0) = -2

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Question 945874: Find the particular antiderivative that satisfies the following conditions:
f''(x) = 12 x^3 - 2; \quad f(0) = 4, \quad f'(0) = -2
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the particular antiderivative that satisfies the following conditions:
f''(x) = 12 x^3 - 2; \quad f(0) = 4, \quad f'(0) = -2
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f'(x) = 3x^4 - 2x + C
quad f'(0) = -2 --> C = -2 (not sure what the "quad" means)
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f'(x) = 3x^4 - 2x - 2
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f(x) = 3x%5E5%2F5+-+x%5E2+-+2x+%2B+C
f(0) = 4 --> C = 4
f(x) = 3x%5E5%2F5+-+x%5E2+-+2x+%2B+4