Mathematics · Calculus
Which of the following expressions correctly represents Lagrange's Mean Value Theorem for a function f(x) differentiable on (a, b)?
- 1f'(c) = f(a) - f(b)b + a
- 2f'(c) = f(b) - f(a)b - a✓
- 3f'(c) = f(a) + f(b)b - a
- 4f'(c) = f(a) + f(b)b + a
Correct answer
f'(c) = f(b) - f(a)b - a
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