" 1."quad f(x)=(x)/(5)+(5)/(x)(x!=0)" is increasing in "

f(x)=(x)/(5)+(5)/(x)(x ne0) is increasing in

f(x)=x+(1)/(x),x!=0 is monotonic increasing when

f(x) is cubic polynomial which has local maximum at x=-1 .If f(2)=18, f(1)=-1 and f'(x) has local minima at x=0 ,then (A) 4f(x)=19x^(3)-57x+34 (B) f(x) is increasing for x in [1,2sqrt(5)] (C) f(x) has local minima at x=1 (D) f(0)=5

Find the intervals in which f(x)=5x^(3/2)-3x^(5/2),x>0 is increasing or decreasing.

Obsereve the following the lists {:("List-I","List-II"),("A) "f(x)=x^2-2x+5" is increasing in","1) "xgt1/e),("B) "f(x)=x^x" decreases for","2) "(-oo,-1)uu(1,oo)),("C) "f(x)=x+1/x" is increasing in","3) "(1,oo)),("D) "f(x)=9-6x-2x^2-x^3" is decreasing for","4) "(-oo,oo)),("","5) "0ltxlt1/e):}

Find the intervals in which f(x)=5x^(3//2)-3x^(5//2),\ \ x >0 is increasing or decreasing.

For every value of x the function f(x)=1/(5^(x)) is: a)Decreasing b)Increasing c)Neither Increasing nor decreasing d)Increasing for x > 0 and decreasing for x < 0

f:R rarr R,f(x) is differentiable such that f(f(x))=k(x^(5)+x),k!=0). Then f(x) is always increasing (b) decreasing either increasing or decreasing non-monotonic

The function f(x)=x^(2)+2x-5 is increasing in the interval

If f(x)=5^(x) , then f^(-1)(x) is :