Question

if f(x)=x²,find f(1.1)-f(1)/(1.1-1)

Answer 1

accoring to Rolle's theorem, f'(c)=f(b)-f(a)/b-a
so, we need a 'c' that satisfies this theorem.
f'(x)=2x
thus, 2c=f(1.1)-f(1)/0.1
so, c=1.21-1/0.2
        =0.21/0.2
        =0.105
hope it helpss...........