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Find the value of x, such that f(x) is increasing function. f(x) = x2 + 2x - 5 - Mathematics and Statistics

Sum

Find the value of x, such that f(x) is increasing function.

f(x) = x2 + 2x - 5 

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Solution

f(x) = x2 + 2x - 5 

∴ f'(x) = 2x + 2

f(x) is an increasing function, if f'(x) > 0

∴ 2x + 2 > 0

∴ 2x > -2

∴ x > - 1

Thus, f(x) is an increasing function for x > -1, i.e., (-1, ∞)

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APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 4 Applications of Derivatives
Exercise 4.2 | Q 2.2 | Page 106
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