PaulaCarmelaL

These are my Math Notes

SUMMARY:

The relationship between a function and the graph of its derivative is such that the slope of a function helps determine the graph of the derivative. If the function f(x) has a positive slope, then the derivative f’(x), x>0 and the slope is negative then the derivative f’(x), x<0.

Subject: Graphs of Derivative

Chart on f’(x) to f(x)

If f’(x) is…	…then f(x) is
Positive f’(x)>0	increasing
Negative f’(x)<0	decreasing
Zero f’(x)=0	constant

Derivative Formula

\[f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}\]

Power Formula

\[\frac{d}{dx}(x^n)=nx^{n-1}\]