Inverse Trig Functions Flashcards
1
Q
d/dx^-1(arsin(x))=
A
1/sqrt(1-x^2)
2
Q
d/dx^-1(arcos(x)=
A
-1/sqrt(1-x^2)
3
Q
d/dx^-1(arctan(x))=
A
1/1+x^2
4
Q
Differentiation rule for generalized powers
A
d/dx(x^r)
5
Q
d/dx(x^r)=
A
rx^r-1
6
Q
To determine an inverse function algebraically…
A
1) Switch x and y for the function.
2) Solve for y in terms of x.
3) Replace y with f^ -1(x)
7
Q
d/dxcsc^ -1(x)=
A
-1/xsqrt(x^2-1)
8
Q
d/dxsec^-1(x)=
A
1/xsqrt(x^2-1)
9
Q
d/dxcot^-1(x)=
A
-1/1+x^2
