Capitalism is an economic system based on private ownership of the means of production and their operation for profit. Characteristics central to capitalism include private property, capital accumulation, wage labor, voluntary exchange, a price system, and competitive markets.
f(x) = (x+1)^1/2. Hi Carla, The derivative of $f(x)$ is the limit, as $h$ approaches zero of the difference quotient. \[\frac{f(x + h) - f(x)}{h}.\]. For your function this difference quotient is. \[\frac{(x + h + 1)^{1/2} - (x + 1)^{1/2}}{h}.\]. If you multiply the numerator and denominator by $(x + h + 1)^{1/2} + (x + 1)^{1/2}$ and simplify you will arrive at an expression that can be evaluated as $h$ approaches zero.
1 - When Qx = 0 you have a discontinuity (Because you can't divide by zero). 2 - To find the points of discontinuity she simply sets the denominator equal to zero and solves for the variable. 3 - You also have a vertical asymptote at these points UNLESS the numerator is also equal to zero.4 - If both the numberator and the demoniator equal zero at the same time... for the same value of X... - When Qx = 0 you have a discontinuity (Because you can't divide by zero). 2 - To find the points of discontinuity she simply sets the denominator equal to zero and solves for the variable. 3 - You also have a vertical asymptote at these points UNLESS the numerator is also equal to zero.