Home
Class 12
MATHS
If 2f(x)=f'(x) and f(0)=3, then f(2) equ...

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

A

`4e^3`

B

`3e^4`

C

`2e^3`

D

`3e^2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    BITSAT GUIDE|Exercise BITSAT Archives |14 Videos
  • EXPONENTIAL AND LOGARITHMIC SERIES

    BITSAT GUIDE|Exercise BITSAT Archives|8 Videos
  • LIMITS CONTINUITY AND DIFFERENTIABILITY

    BITSAT GUIDE|Exercise BITSAT Archives |28 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a polynomial satisfying f(0)=2f'(0)=3 and f'(x)=f(x) then f(4) equals

Let f(x+y)=f(x)*f(y) for all x y where f(0)!=0 .If f(5)=2 and f'(0)=3 then f'(5) is equal to

The third derivative of a function f'''(x) vanishes for all f(0)=1,f'(1)=2 and f''=-1, then f(0) is equal to (-3/2)x^(2)+3x+9

If y=f(x) satisfies f(x+1)+f(z-1)=f(x+z) AA x, z in R and f(0)=0 and f'(0)=4 then f(2) is equal to

Let f be a function satisfying f''(x)=x^(-(3)/(2)) , f'(4)=2 and f(0)=0 . Then f(784) equals……..

If f'(x)=(1)/((1+x^(2))^(3//2)) and f(0)=0, then f(1) is equal to :

If f(x)=|x|^(3) , then f' (0) equals

If f(x+y)=2f(x) f(y) for all x,y where f'(0)=3 and f(4)=2, then f'(4) is equal to