" If "(i)" If "f(x)=x|x|," prove that "f'(x)=2|x|

If f(x)=x|x|, then prove that f'(x)=2|x|

If f(x) = x|x| , prove that f'(1) = 2 .

If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

A function f:R rarr R satisfies the equation f(x+y)=f(x)f(y) for allx,y in R and f(x)!=0 for all x in R .If f(x) is differentiable at x=0 .If f(x)=2, then prove that f'(x)=2f(x) .

If f(x)=5^x , then prove : f(x+2)=25f(x)