`f+g` ज्ञात कीजिए यदि `f(x)=x^(2),AAx inR` और `g(x)=x+1AAx in R`.

If f(x)=x|x|,AAx inR . then :

Let f (x)=xabsx,AAx in R . Then,

The set of all points where f(x) is increasing is (a,b)cup(c,oo) . Find [a+b+c] (where [.] denotes the greatest integre function) given that f(x)=2f((x^(2))/(2))+f(6-x^(2)),AAx inR andf''(x)gt0,AAx in R.

The set of all points where f(x) is increasing is (a,b)cup(c,oo) . Find [a+b+c] (where [.] denotes the greatest integre function) given that f(x)=2f((x^(2))/(2))+f(6-x^(2)),AAx inR andf''(x)gt0,AAx in R.

Let f(x)=x+f(x-1) for AAx in R . If f(0)=1,f i n d \ f(100) .

Let f(x)=x+f(x-1) for AAx in R . If f(0)=1,f i n d \ f(100) .

For the function f(x)=(x^2+b x+c)3^xa n dg(x)=(x^2+b x+c)3^x+3^x(2x+b)dot Which of the following holds goods? If f(x)>0AAx in R =>g(x)>0AAx in R If f(x)>0AAx in R=>g(x) 0AAx in R=>f(x)>0AAx in R If g(x)>0AAx in R =>f(x)<0AAx in R

Find the extreme values of the function f(x)=x^2e^(-x^2) and show that f(x)=lee^-1AAx in R .

Prove that f(x)="sin"x-x is decreasing AAx inR .