Test 4 Prep AP Calc AB

What is the relationship between the slope of a function and its inverse?

They are reciprocals, but NOT perpendicular (you don't change the sign!)

When given the x of a derivative of the inverse (ex: (f^-1+6))’, what do you do?

Plug in the x to the original equation’s y to find the original equations x

What is the derivative of sin^-1x?

=1/√1-x²

What is the Derivative of tan^-1x?

=1/1+x²

What is the difference between the inverse sine and tangent derivatives?

Tangent doesn't have a √ on the bottom

What do you do when you're asked to find an inverse?

Make the chart!!!

What do you do when you chain rule an inverse?

Make sure to plug in the #x into the x of the denominator

y=e^x

y’=e^x

y=a^x

y’=a^x•lna

y=lnx

y’=1/x

y=loga(x)

y’=1/x•lna