Get 2 FREE Instant-Explanations on Filo with code FILOAPP

Let {f}:{R}{R}be a differentiable function with {f{{({0})}}}={

Question

Let $f : R \to R$ be a differentiable function with $f (0) = 1$ and satisfying the equation $f (x + y) = f (x) f^{p r i m e} (y) + f^{p r i m e} (x) f (y)$ for all $x, y \in R$ . Then, the value of $(lo g)_{e} (f (4))$ is _______

Views: 882 students

Found 6 tutors discussing this question

Noah Discussed

Let

f : R \to R

be a differentiable function with

f (0) = 1

and satisfying the equation

f (x + y) = f (x) f^{p r i m e} (y) + f^{p r i m e} (x) f (y)

for all

x, y \in R

. Then, the value of

(lo g)_{e} (f (4))

is _______

15 mins ago

Discuss this question LIVE

15 mins ago

Filo tutor solutions (1)

Learn from their 1-to-1 discussion with Filo tutors.

Ask your question, on a video call with tutor

Connect instantly with this tutor

Connect now

Was this solution helpful?

150

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text	Let $f : R \to R$ be a differentiable function with $f (0) = 1$ and satisfying the equation $f (x + y) = f (x) f^{p r i m e} (y) + f^{p r i m e} (x) f (y)$ for all $x, y \in R$ . Then, the value of $(lo g)_{e} (f (4))$ is _______
Answer Type	Video solution: 1
Upvotes	150