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If f(x)=m x+c and f(0)=f^(prime)(0)=1. W...

If `f(x)=m x+c and f(0)=f^(prime)(0)=1.` What is `f(2)?`

A

2

B

1

C

0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`f(x)=mx+c`
`f′(x)=(d f(x))/(dx)​=(d(mx+c))/dx​=m`
`f′(0)=1=m=1`
`f(0)=1=(1xx0)+c=1=c=1`
`f(x)=x+1=f(2)=1xx2+1=3`
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