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 Prove that h(x) has a jump discontinuity at x = 0, and draw the graph of h(x). 2  Prove that f(x) has a discontinuity of second kind at x = 0. 3  What kind of discontinuity does the function g(x) have at every point (with proof). Then. 2  Prove that k(x) has a removable discontinuity at x = 3, and draw the graph of k(x). 3  Prove that h(x) has a jump discontinuity at x = 0, and draw the graph of h(x). 4  Prove that f(x) has a discontinuity of second kind at x = 0.