Derivative Rules Flashcards
1
Q
d/dx(sinx)
A
cosx
2
Q
d/dx(cosx)
A
-sinx
2
Q
d/dx(tanx)
A
(secx)^2
3
Q
d/dx(secx)
A
secx(tanx)
4
Q
d/dx(cscx)
A
-cscx(cotx)
5
Q
d/dx(cotx)
A
-(cscx)^2
6
Q
d/dx[f(g(x))]
A
f’(g(x))g’(x)
7
Q
d/dx(e^x)
A
e^x
8
Q
d/dx(lnx)
A
1/x
9
Q
d/dx(log base a of x)
A
1/(xlna)
10
Q
d/dx(a^x)
A
a^x(lna)
11
Q
d/dx(sin^-1(x))
A
1/((1-x^2)^1/2)
12
Q
d/dx(cos^-1(x))
A
-1/((1-x^2)^1/2)
13
Q
d/dx(tan^-1(x))
A
1/(1+x^2)
14
Q
d/dx(sec^-1(x))
A
1/(|x|((x^2-1)^1/2)