Derivative Rules Flashcards
1
Q
y’(xn)=
A
nxn-1
2
Q
y’(ax)=
A
lna•ax
3
Q
y’(f(x)•g(x))=
A
f(x)•g’(x)+f’(x)•g(x)
4
Q
y’(f(x)/g(x))=
A
g(x)•f’(x)-f(x)•g’(x) / (g(x)2)
5
Q
y’(f(g(x)))=
A
f’(g(x))•g’(x)
6
Q
y’(lnx)=
A
1/x
7
Q
y’(sinx)=
A
cosx
8
Q
y’(tanx)=
A
sec2x
9
Q
y’(secx)=
A
sec(x)tan(x)
10
Q
y’(arcsinx)=
A
1 / (1-x2)½
11
Q
y’(arcsecx)=
A
1 / (x(x2-1)½)
12
Q
y’(cosx)=
A
-sinx
13
Q
y’(cotx)=
A
-csc2x
14
Q
y’(cscx)=
A
-csc(x)cot(x)
15
Q
y’(arctanx)=
A
1 / (1+x2)
