1. Derivatives and Inverse Functions
1. Complete the table (without a calculator) for f(x) = sinx
Convert both the x- and y- values from your table to the nearest tenth.
Use the tables above to produce a table for f-1(x) = arcsinx
Use the tables to sketch the graphs of f(x) = sin x and f-1(x) = arcsinx
Find the values of (f-1)’(a) if given f(X)=sinx where a=
Draw the tangent line to (f-1)(a) at a=

2. Inverse Trig Functions
and Derivatives
Function: y = arcsinx The derivative formula:
Graph:
Domain:
Range:
Function: y = arctanx
Graph:
The derivative formula:
Domain:
Range:
Function: y = arcsecx
Graph:
The derivative formula:
Domain:
Range:

3. Function: y = arccosx
Graph:
The derivative formula:
Domain:
Range:
Function: y = arccotx
Graph:
The derivative formula:
Domain:
Range:
Function: y = arccscx
Graph:
The derivative formula:
Domain:
Range: