Even and Odd Functions (a) Show that the derivative of an odd function is even. That is, if f(−x) = −f(x), then f′(−x) = f′(x). (b) Show that the derivative of an even function is odd. That is, if f(−x) = f(x), then f′(−x) = −f′(x).
Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Even and Odd Functions (a) Show that the derivative of an odd function is even. That is, if f(−x) = −f(x), then f′(−x) = f′(x). (b) Show that the derivative of an even function is odd. That is, if f(−x) = f(x), then f′(−x) = −f′(x).
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