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Question

Suppose f(x) is differentiable at x=1, f(1)=0 and limh0f(1+h)h=5. Then f(1) equals

A
4
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B
3
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C
6
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D
5
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Solution

The correct option is D 5
The right hand derivative is given by:

f(x)=limh0f(1+h)f(1)h

Now, f(1)=0

f(x)=limh0f(1+h)0h

f(x)=limh0f(1+h)h

f(x)=5 .....Answer

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