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Question

If f(x)=Ax+B and f(0)=f'(x)=2 then f(1)=


A

4

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B

2

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C

1

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D

-4

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Solution

The correct option is A

4


Explanation for the correct option.

Find the value of f(1):

f(x)=Ax+B⇒f0=B⇒B=2

f'x=A⇒A=2

So,

f(x)=2x+2⇒f1=21+2=4

Hence, option A is correct.


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