Home
Class 11
MATHS
fn(x)=e^(f(n-1)(x)) for all n in Na n ...

`f_n(x)=e^(f_(n-1)(x))` for all `n in Na n df_0(x)=x ,t h e n d/(dx){f_n(x)}` is (a)`(f_n(x)d)/(dx){f_(n-1)(x)}` (b) `f_n(x)f_(n-1)(x)` (c)`f_n(x)f_(n-1)(x).......f_2(x)dotf_1(x)` (d)none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

f_(n)(x)=e^(f_(n-1^(x))) for all n inN and f_0(x) = x , then (d)/(dx){f_(n)(x)} is

f_(n)(x)=e^(f_(n-1)(x))" for all "n in N and f_(0)(x)=x," then "(d)/(dx){f_(n)(x)} is

f_(n)(x)=e^(f_(n-1)(x))" for all "n in N and f_(0)(x)=x," then "(d)/(dx){f_(n)(x)} is

f_(n)(x)=e^(f_(n-1)(x))" for all "n in N and f_(0)(x)=x," then "(d)/(dx){f_(n)(x)} is

f_(n)(x)=e^(f_(n-1)(x))" for all "n in N and f_(0)(x)=x," then "(d)/(dx){f_(n)(x)} is

f_(n)(x)=e^(f_(n-1)(x))" for all "n in N and f_(0)(x)=x," then "(d)/(dx){f_(n)(x)} is

If d/(dx) (f(x))^(n)=n(f(x))^(n-1)(df(x))/(dx) then (d)/(dx) (sin^3x)=3sin^(2)x.cosx .

If (x+1)+f(x-1)=2f(x)andf(0),=0 then f(n),n in N, is nf(1)(b){f(1)}^(n)(c)0 (d) none of these

If (d)/(dx)[f(x)]=(1)/(1+x^(2))," then: "(d)/(dx)[f(x^(3))]=

Let f_1(x)=e^x,f_2(x)=e^(f_1(x)),"........",f_(n+1)(x)=e^(f_n(x)) for all nge1 . Then for any fixed n,(d)/(dx)f_n(x) is