Question

verify Rolles thearm for the function f(x)=x²+2‚ xe[-2‚2]​

Answer 1

Answer:

f(x)=x2+2x-8

f(x)=(x+4) (x-2)

f(x)=2x+2

We know every polynomial function is continuous and differentiable in R.in particularf is continous and differentable in [-4;2]also f (-4)=f(2)=0

thus there will exist c=(-4;2)

=2c+2=0=c=-1=(-4;2)

hence ,Rolle,s therom verfied