Trig Derivatives Flashcards
0
Q
f(x) = cos(x)
A
f’(x) = -sin(x)
1
Q
f(x) = sin(x)
A
f’(x) = cos(x)
2
Q
f(x) = tan(x)
A
f’(x) = sec^2(x)
3
Q
f(x) = cot(x)
A
f’(x) = -csc^2(x)
4
Q
f(x) = sec(x)
A
f’(x) = tan(x)sec(x)
5
Q
f(x) = csc(x)
A
f’(x) = -csc(x)cot(x)
6
Q
f(x)=sin^(-1)x or f(x)=arcsin(x)
A
f’(x)= 1/
√(1-x^2)
7
Q
f(x)=tan^(-1)x or f(x)=arctan(x)
A
f’(x)= 1/
(1+x^2)
8
Q
f(x)=log(base b) x
A
f’(x)= 1/
x•ln(b)
9
Q
f(x)=a^x
A
f’(x)= a^x•ln(a)
10
Q
AD of sec(x) = ?
A
ln[abs][sec(x)+tan(x)]+c
