" 10.यदि "f(x)" The power of "=m" And "g(x)" The power of "=n,m>n," Then "f(x)+g(x)" Killed "25." If "

Let f(x)=px+qandg(x)=mx+n." Then "f(f(x))=g(f(x)) is equivalent to

If f (x) =x^(m) and g(x) =x^(n) does f^(@) g=g^(@) f?

If g is the inverse of f and f'(x)=1/(1+x^n) , prove that g^(prime)(x)=1+(g(x))^n

If f(x)a n dg(f) are two differentiable functions and g(x)!=0 , then show trht (f(x))/(g(x)) is also differentiable d/(dx){(f(x))/(g(x))}=(g(x)d/x{f(x)}-g(x)d/x{g(x)})/([g(x)]^2)

If g is the inverse of f and f'(x)=(1)/(1+x^(n)) prove that g'(x)=1+(g(x))^(n)

Consider the functions f(x) and g(x), both defined from R rarrR and are defined as f(x)=2x-x^(2) and g(x)=x^(n) where n in N . If the area between f(x) and g(x) is 1/2, then the value of n is

Consider the functions f(x) and g(x), both defined from R rarrR and are defined as f(x)=2x-x^(2) and g(x)=x^(n) where n in N . If the area between f(x) and g(x) is 1/2, then the value of n is

Consider the functions f(x) and g(x), both defined from R rarrR and are defined as f(x)=2x-x^(2) and g(x)=x^(n) where n in N . If the area between f(x) and g(x) is 1/2, then the value of n is

Consider the functions f(x) and g(x), both defined from R rarrR and are defined as f(x)=2x-x^(2) and g(x)=x^(n) where n in N . If the area between f(x) and g(x) is 1/2, then the value of n is