If f(x) = 3x² - x³, find f'(x), ƒ"(x), f'"'(x), and f(*)(x). f'(x) = f"(x) f"""(x) = f(4) (x) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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If f(x) = 3x² - x³, find f'(x), ƒ''(x), ƒ'''(x), and f(4)(x).
f'(x) =
f"(x) =
f'(x) =
f(4) (x) =
Graph f, f', f", and f"" on a common screen. Are the graphs consistent with the geometric interpretations of these derivatives?
The graphs ---Select--- consistent with the geometric interpretations of the derivatives because f' ---Select---
--Select---
✓where f' has a slope of m = 0, and f"" is ---Select--- ✓function equal to the slope of f".
✓where f has a slope of m = 0, f"
Transcribed Image Text:If f(x) = 3x² - x³, find f'(x), ƒ''(x), ƒ'''(x), and f(4)(x). f'(x) = f"(x) = f'(x) = f(4) (x) = Graph f, f', f", and f"" on a common screen. Are the graphs consistent with the geometric interpretations of these derivatives? The graphs ---Select--- consistent with the geometric interpretations of the derivatives because f' ---Select--- --Select--- ✓where f' has a slope of m = 0, and f"" is ---Select--- ✓function equal to the slope of f". ✓where f has a slope of m = 0, f"
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