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Limits Continuity and Differentiability question

2020 · 4 Sep · Shift 1 · Q26

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JEE Main
Mathematics
Limits Continuity and Differentiability
2020 · 4 Sep · Shift 1 · Q26

Limits Continuity and Differentiability question

2020 · 4 Sep · Shift 1 · Q26

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1

Suppose a differentiable function f(x) satisfies the identity f(x+y) = f(x) + f(y) + xy2 + x2y, for all real x and y.

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

, then f'(3) is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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