### Suddenly Not So Ugly

Today in class, we started the fourth unit, and yet again the derivative function shows itself once again. We learned how to convert a parent function into a derivative function without using the

If the parent function is a

The derivative function is automatically

If the parent function is a

The derivative function is the

If the parent function is a

To convert from the parent function to the derivative function by taking the exponent and make it the coefficient, then subtract 1 from the exponent to get the derivative function.

Now with these short cuts the derivative function is not as ugly as it once was.

The next scribe is Ara.

**Definition of the Derivative Function.**If the parent function is a

**constant function**, for example: f (x) = 2The derivative function is automatically

**zero**(**0**), f ' (x) = 0If the parent function is a

**linear function**, for example: f (x) =**2**xThe derivative function is the

**slope of the line (m)**, f ' (x) =**2**If the parent function is a

**power,**for example: f(x) = x^3To convert from the parent function to the derivative function by taking the exponent and make it the coefficient, then subtract 1 from the exponent to get the derivative function.

**f (x) = x^n****f ' (x) = n(x^(n-1))**Now with these short cuts the derivative function is not as ugly as it once was.

The next scribe is Ara.

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