Question

2. 2. Solve the following questions 1. Verify Rolle's theorem for f(x) = (x + 2)(x - 3)4 in interval (-2,3).​

Answer 1

Answer:

Step-by-step explanation:

f ’(x)= 3(x+2)^2 (x-3)^4 +4(x-3)^3 (x+2)^3 =(x+2)^2 (x-3)^3 (7x-1)

thus f ‘(x)=0 for x=1/7

hence Rolle’s theorem is verified.