Page No 186:
Question 1:
Verify Rolle’s Theorem for the function
The given function,, being a polynomial function, is continuous in [−4, 2] and is differentiable in (−4, 2).
∴ f (−4) = f (2) = 0
⇒ The value of f (x) at −4 and 2 coincides.
Rolle’s Theorem states that there is a point c ∈ (−4, 2) such that
Hence, Rolle’s Theorem is verified for the given function.
