If `e^(f(x))= (10+x)/(10-x), x in (-10,10)` and `f(x) =k.f((200x)/(100+x^2))` then k=

If e^(f(x))=(10+x)/(10-x),x in (-10 ,10)a n df(x)=kf((200 x)/(100+x^2)),t h e nk= (a) 0.5 (b) 0. 6 (c) 0.7 (d) 0.8

If f(x)=log((1-x)/(1+x)) ,|x|<1" and f((2x)/(1+x^(2)))=K .f(x) then 50K=

f(x)={[(1)/(e^(x-1)),,x!=10,,x=1

If f(x)=x^(3)-10x^(2)+200x-10, then f(x)

If f(x)=10cos x+(13+2x)sin x then f'(x)+f(x)=

f(x^(2))=x+10, then f(4)=?

If f(x)=(a^(x)+a^(-x))/(2) and f(x+y)+f(x-y)=kf(x)f(y) then k=

If f''(x) =- f(x) and g(x) = f'(x) and F(x)=(f((x)/(2)))^(2)+(g((x)/(2)))^(2) and given that F(5) =5, then F(10) is

If (x)+f(x+4)=f(x+2)+f(x+6)AA x in R, and f(5)=10 then sum_(r=1)^(100)f(5+8r) equal to