Suppose f: ℝ → (0, ∞) be a differentiable function such that 5f(x… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 30 January, Shift 1Functions

Suppose $f : \mathbb{R} \to (0, \infty)$ be a differentiable function such that $5f(x + y) = f(x) \cdot f(y), \, \forall x, y \in \mathbb{R}$ . If $f(3) = 320$ , then $\sum_{n=0}^{5} f(n)$ is equal to:

A
$6875$
B
$6575$
C
$6825$
D
$6528$

Answer & step-by-step solution

Practice more Functions questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Functions

Answer & step-by-step solution

Practice more Functions questions

Related questions