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Fill in the blank: If f(x) = x - 3x2 + 3x - 100, x ∈ R then f''(x) is ______ - Mathematics and Statistics

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Question

Fill in the blank:

If f(x) = x - 3x2 + 3x - 100, x ∈ R then f''(x) is ______

Fill in the Blanks

Solution

If f(x) = x - 3x2 + 3x - 100, x ∈ R then f''(x) is 6(x - 1)

Explanation:

f(x) = x3 - 3x2 + 3x - 100

∴ f '(x) = 3x2 - 6x + 3

∴ f ''(x) = 6x - 6

= 6(x - 1)

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Chapter 4: Applications of Derivatives - Miscellaneous Exercise 4 [Page 114]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 4 Applications of Derivatives
Miscellaneous Exercise 4 | Q 2.2 | Page 114

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