Derivatives of trig functions + other UNIT 2 stuff

sinx

sinx

cosx

cosx

-sinx

tanx

sec²x

cscx

-cscxcotx

secx

secxtanx

cotx

-csc²x

What are you doing if you plug a point into a derivative?

Finding the slope of the tangent line at that point

Difference quotient

limit as h approaches 0 of (f(x+h) - f(x))/h

Question gives you point on the original function. What does that mean?

The tangent line of the original function (aka, f’(x) goes through this point. The slope of the tangent line is what you get when you plug in this point to the derivative function.

What is the significance of a y-value you get after plugging an x value into the tangent line?

It means that point is on the original function.