Unit 3 Flashcards
Derivatives of inverse, trig, and log functions
1
Q
(f^-1)(b)=
A
1/(f’(f^-1(b))
2
Q
[loga(f(x)]=
A
1/((lna)f(x))*f’(x)
3
Q
(ln(f(x))=
A
1/(f(x))*f’(x)
4
Q
sin^-1(x)=
A
1/sqrt. (1-x^2)
5
Q
cos^-1(x)=
A
-1/sqrt. (1-x^2)
6
Q
tan^-1(x)=
A
1/(1+x^2)
7
Q
cot^-1(x)=
A
-1/(1+x^2)
8
Q
sec^-1(x)=
A
1/x(sqrt. (1-x^2))
9
Q
csc^-1(x)=
A
-1/x(sqrt. (1-x^2))
