Calculus | CityZenUSA

Calculas

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Derivative Derivative Rate of change. Considering slope is equal to rise over run. Is the slope of the line tangent to the curve. If measuered in m for meters the three states of a particle would be position, velocity and acceleration. The derivative of position is velocity and would be measured as meters per second or m/s.

Derivatives Prime The derivative of velocity is acceleration and it represents how much your velocity is changing measued as m/s squared.

Derivatives Double Prime

Prime: $P^{'} (x)$ can also be writen as infintesimal tiny change $\frac{d p}{d t}$ The change in position as a function of time.

Double Prime: $P^{″} (x)$

Uppercase Delta meaning change: $Δ$

Lowercase Delta: $δ$

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Area Area

Formula: $\int_{2}^{3} x^{2} d x$

Getting the area