If `f(x)=x^(3/2)(3x-10),xgeq0,` then `f(x)` is increasing in ____.

If f(x)=x^((3)/(2))(3x-10),x>=0, then f(x) is increasing in

The function f(x) =10 -x^3+3x is increasing in

If f'(x^2-4x+3)gt0 " for all " x in (2,3) then f(sinx) is increasing on

If f'(x^2-4x+3)gt0 " for all " x in (2,3) then f(sinx) is increasing on

f(x)=x+1, x<0, f(x)=x^2, xgeq0 and g(x)={x^3, x<1, 2x-1, xgeq1 Then find f(g(x)) and find its domain and range.

f(x)={x+1, x<0,x^2, xgeq0 and g(x)={x^3, x<1, 2x-1, xgeq1 Then find f(g(x)) and find its domain and range.

The function f:[0, 2]to R defined by f(x)=x^(3)-3x is increasing in which of the following intervals ?

What is the interval in which f(x)=x^3-3x^2+3x-10 is strictly increasing ?

If f'(x)=8x^(3)+3x^(2)-10x-k " and " f(0)=-3,f(-1)=0," then " f(x)= is

Let : f(x)={(a+3cosx)/(x^2),x<0btan(pi/([x+3])),xgeq0 If f(x) is continuous at x=0, then find aa n db , where [dot] denotes the greatest integer function.