DERIVATIVES OF INVERSE TRIG.
Unit 5C Day 2
Do Now
Let y = arccosu. Then u = ______. Use this to derive dy/dx[arccosu].
Thm. 5.16: Derivatives of Inverse Trig. Functions Let u be a differentiable function of x.
Ex. 1
Find
Ex. 2
Find the following.a)
b)
Ex. 3
Find
Ex. 4
Find an equation of the line tangent to the graph of the function at the given point.
Ex. 5
Find any relative extrema of
f(x) = arctanx – arctan(x – 4).
Ex. 6
Find an equation of the tangent line to the graph of arctan(xy) = arcsin(x + y) at (0, 0).
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