Class Minutes 12/2/13

Today in class, we used the power rule to derive a position equation into a velocity equation in order to find the time at which velocity equaled zero.

Next we did the Continuity and Differentiability worksheet. 

A fxn is continuous at a point if:

f(c) exists

lim(x-->c) f(x) exists

f(c) = lim(x-->c) f(x)

A function is differentiable at a point if it is not a cusp and if f '(c) exists.

We learned how to make a piecewise fxn differentiable at a value when solving for k.

In order to do this you derive both fxn's of the piecewise fxn and set them equal to each other. Then you solve for k and plug it back into the original piecewise fxn.

Finally, at the end of class we learned the derivatives of the six trig fxn's.