Q.1 (vi) The approximate value of the function f(x) = x³ - 3x + 5 at x = 1.99 is _____. A. 6.09 B. 6.91 C. 7.09 D. 7.91

Answer: B. 6.91 Answer: (b) 6.91 Take a = 2,\ h = -0.01 . f(2) = 8 - 6 + 5 = 7 , f'(x) = 3x² - 3 , f'(2) = 9 . f(a + h) ≈ f(a) + h f'(a) = 7 + (-0.01)(9) = 6.91 .

The approximate value of the function \(f(x) = x^3 - 3x + 5\) at \(x = 1.99\) is _____.

Q.1 (vi) The approximate value of the function \(f(x) = x^3 - 3x + 5\) at \(x = 1.99\) is _____.

A. 6.09

B. 6.91

C. 7.09

D. 7.91

Doubtly Asked 28 Oct 2026 Board exam · March 2026 hsc 12th Save WhatsApp Report

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Answer: B. 6.91

Answer: (b) 6.91

Take \(a = 2,\ h = -0.01\). \(f(2) = 8 - 6 + 5 = 7\), \(f'(x) = 3x^2 - 3\), \(f'(2) = 9\). \(f(a + h) \approx f(a) + h f'(a) = 7 + (-0.01)(9) = 6.91\).

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The approximate value of the function \(f(x) = x^3 - 3x + 5\) at \(x = 1.99\) is _____.

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