Q. 115.0( 2 Votes )

If f(1) = 1, f’(1) = 2, then write the value of

Answer :

By definition of derivative we know that derivative of a function at a given real number say c is given by :

f’(c) =


let Z =


As Z is taking 0/0 form because f(1) = 1


So on rationalizing the Z, we have–


Z =


Z = {using a2–b2 = (a+b)(a–b)}


Z =


Using algebra of limits, we have –


Z =


Using the definition of the derivative, we have –


Z =


Z = 2 × (2/2) = 2 {using values given in equation}


Z = 2


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