If `f(x)=x^(n)` and `f'(1)=5`, show that `n=5`

If y=f(x)=(5x+3)/(4x-5) , then show that f(y)=x.

Let f: Rveca n dg: RvecR be defined by f(x)=x+1a n dg(x)=x-1. Show that fog=gof=I_Rdot

If f(x)=x^(n),"n" epsilon N , then the value of f(1)-(f^(')(1))/(1!)+(f^(")(1))/(2!)-(f^''')(1)/(3!)+…+(-1)^(n)(f^(n)(1))/(n!) is

f:[0,5]rarrR,y=f(x) such that f''(x)=f''(5-x)AAx in [0,5] f'(0)=1 and f'(5)=7 , then the value of int_(1)^(4)f'(x)dx is

If f(x) = (x^n-a^n)/(x-a) , then f'(a) is a. 1 b. 1/2 c. 0 d. does not exist

If Delta = |(f(x),f(1/x)+f(x)), (1,f(1/x))|=0 where it is given f(x) = a + bx^n and f(2) = 17 and f(5) = K then K-620=

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

If f(x) =(p-x^n)^(1/n) , p >0 and n is a positive integer then f[f(x)] is equal to

Let f : N to N : f(x) =2 x for all x in N Show that f is one -one and into.

If f_1(x)=x ,f_2(x)=1-x ,f_3(x)=1/x ,f_4(x)=1/(1-x),f_5(x)=x/(x-x),f_5(x)=x/(x-1), , f_6(x)=(x-1)/x suppose that f_6(f_m(x))=f_4(x) and f_n(f_4(x))=f_3(x), then m=5 (b) n=5 (c) m=6 (d) n=6