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.
`tan x=(sin x)/(cos x)`. This means the function will have a discontinuity where cos x = 0. That is, when x takes any of the values: It is very important to keep these values in mind when sketching this graph.When setting up a table of values, make sure you include `x`-values either side of the discontinuities.tan x=(sin x)/(cos x)`. This means the function will have a discontinuity where cos x = 0. That is, when x takes any of the values: It is very important to keep these values in mind when sketching this graph. When setting up a table of values, make sure you include `x`-values either side of the discontinuities.