0
Q
d/dx[x^n]
A
nx^(n-1)
1
Q
d/dx[sinx]
A
cosx
2
Q
d/dx[cosx]
A
-sinx
3
Q
d/dx[tanx]
A
sec^2(x)
4
Q
d/dx[cotx]
A
-csc^2(x)
5
Q
d/dx[secx]
A
tanxsecx
6
Q
d/dx[cscx]
A
-cotxcscx
7
Q
d/dx[f(x)g(x)]
A
f(x)g’(x)+g(x)f’(x)
8
Q
d/dx[f(x)/g(x)]
A
[g(x)f’(x)-f(x)g’(x)]/[g(x)]^2
9
Q
d/dx[f(g(x))]
A
f’(g(x))g’(x)
10
Q
d/dx[ln(x)]
A
1/x
11
Q
d/dx[f^(-1)(x)]
A
1/[f’(y)]=1/[f’(f^(-1)(x))]
12
Q
d/dx[e^x]
A
e^x
13
Q
d/dx[a^x]
A
a^x(ln(a))
14
Q
d/dx[log\/b(x)]
A
1/[xln(b)]
15
Q
d/dx[arcsin(u)]
A
du/√(1-u^2)
16
Q
d/dx[arctan(u)]
A
du/(u^2+1)
17
Q
d/dx[arcsec(u)]
A
du/[|u|√(u^2-1)]
18
Q
d/dx[arccos(u)]
A
-d/dx[arcsin(u)]
AP Calculus BC
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