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Trigonometric Functions and Equations question

2018 · Shift 2 · Q29

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JEE Advanced
Mathematics
Trigonometric Functions and Equations
2018 · Shift 2 · Q29

Trigonometric Functions and Equations question

2018 · Shift 2 · Q29

JEE AdvancedMathematicsTrigonometric Functions and EquationsNumerical+3 / −1

Let f : R

\to

R be a differentiable function with f(0) = 1 and satisfying the equation f(x + y) = f(x) f'(y) + f'(x) f(y) for all x, y

\in

R. Then, the value of loge(f(4)) is ...........

Numerical answer

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