Home
Class 11
MATHS
If f(x + y) = f(x) f(y) AA x, y and f(5...

If `f(x + y) = f(x) f(y) AA x, y ` and `f(5) = 2, f'(0) = 3` then `f'(5)` =

A

`0`

B

`1`

C

`6`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|13 Videos
  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(LINKED COMPREHENSION TYPE QUESTIONS)|11 Videos
  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos
  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

If f is differentiable , f(x+y) = f(x) f(y) for all x, y in R , f(3) =3, f'(0) = 11, then f'(3) =

If f : R to R is continuous such that f(x + y) = f(x) + f(y) x in R , y in R and f(1) = 2 then f(100) =

If 2f(x) = f'(x) and f(0) = 3 then f(2) =

Given that f(x) is a differentiable function of x and that f(x) ,f(y) = f(x) + f(y) +f(xy) -2 and that f(1)=2 , f(2) = 5 Then f(3) is equal to

If f : R to R is defined as f (x+ y) = f (x) + f (y) AA x, y in R and f (1) = 7, then find sum _(r =1) ^(n) f (r).

The function f satisfies the relation f(x) . F'(-x) = f(-x)f'(x) AA x & f(0) = 3 . Now if f(3) = 3 then f(-3) =

If f ((x + 2y)/(3)) = (f (x) + 2f (y))/( 3) AA x, y in R and f '(0) = 1, f (0) = 2, then find f (x).

Let 'f' be a non-zero real valued continuous function satisfying f(x + y) = f(x), f(y) . f(y) for all x, y in R if f(2) = 9 , then f(6) =