Suppose f(x) is differentiable at x = 1 and lim h → 0 1/hf(1 + h) = 5, then f'(1) equals

Limit, Continuity and Differentiability: JEE Main 2005 Mathematics question

JEE Main 2005 · Annual, Paper 1 · Q4172

JEE Main 2005Annual, Paper 1MathematicsEasyLimit, Continuity and Differentiability420× since 2002

Suppose

f(x)

is differentiable at x = 1 and

\mathop {\lim }\limits_{h \to 0} {1 \over h}f\left( {1 + h} \right) = 5

, then

f'\left( 1 \right)

equals

JEE Main 2005 · Annual, Paper 1 · Q4172

JEE Main 2005Annual, Paper 1MathematicsEasyLimit, Continuity and Differentiability420× since 2002

Suppose

f(x)

is differentiable at x = 1 and

\mathop {\lim }\limits_{h \to 0} {1 \over h}f\left( {1 + h} \right) = 5

, then

f'\left( 1 \right)

equals