#### Question

Verify Mean Value Theorem, if f (x) = x^{3} – 5x^{2} – 3x in the interval [a, b], where a = 1 and b = 3. Find all c ∈ (1, 3) for which f ′(c) = 0.

clickto share

#### Solution

The given function *f* is f (x) = x^{3} – 5x^{2} – 3x

*f*, being a polynomial function, is continuous in [1, 3] and is differentiable in (1, 3) whose derivative is 3*x*^{2} − 10*x* − 3.

Is there an error in this question or solution?

#### Related Questions VIEW ALL [3]

#### Reference Material

Solution for question: Verify Mean Value Theorem, If F (X) = X3 – 5x2 – 3x in the Interval [A, B], Where a = 1 and B = 3. Find All C ∈ (1, 3) for Which F ′(C) = 0. concept: Mean Value Theorem. For the courses CBSE (Arts), CBSE (Commerce), CBSE (Science)