Home
Class 12
MATHS
Let a function f:R rarr R be such that f...

Let a function `f:R rarr R` be such that `f(1)=2 , f'(0) = ln2` and `f(x+y)=2^(x)f(y)+4^(y)f(x),AA x,y in R`. If `f'(2)=k ln2` ,then number of divisors of `k` ,is

Promotional Banner

Similar Questions

Explore conceptually related problems

Let a function f:R rarr R such that f(1)=2 and f(x+y)=2^(x)f(y)+4^(y)f(x)AA x,y in R . If f'(2)=kln2 ,then the value of k is

Let f(x+y)+f(x-y)=2f(x)f(y)AA x,y in R and f(0)=k, then

If f(x+y) = f(x) + f(y) + |x|y+xy^(2),AA x, y in R and f'(0) = 0 , then

Consider a differentiable function f:R rarr R for which f'(0)=ln2 and f(x+y)=2^(x)f(y)+4^(y)f(x)AA x,y in R which of the following is /are correct?

If a function f:R rarr R be such that f(x-f(y))=f(f(y))+xf(y)+f(x)-1AA x,y in R then f(2)=

Consider a differentiable f:R to R for which f(1)=2 and f(x+y)=2^(x)f(y)+4^(y)f(x) AA x , y in R. The value of f(4) is

Suppose f:R rarr R is a function f(1)=2,f(2)=6 and f(x+y)=f(x)+kxy-2y^(2) for all x,y in R then

Consider a differentiable f:R to R for which f(1)=2 and f(x+y)=2^(x)f(y)+4^(y)f(x) AA x , y in R. The number of solutions of f(x)=2 is

Let f(x+y)-axy=f(x)+by^(2),AA x,y in R,f(1)=8,f(2)=32 , then a+b=?

Let f:R rarr R be a function such that f(x+y)=f(x)+f(y),AA x,y in R