1
Q
(d/dx) (a^x)
A
a^x * lnx
2
Q
(d/dx)(x^n)
A
nx^n-1
3
Q
(d/dx)(F(x)*g(x))
A
(f’(x))(g(x)) + (f(x))(g’(x))
4
Q
(d/dx)f(x))/g(x)
A
(low)(d’high) - (high)(d’low) / (low^2)
5
Q
(d/dx)(ln(x))
A
1/x, x>0
6
Q
(d/dx)(ln|x|)
A
1/x, x /=0
7
Q
(d/dx)(e^x)
A
e^x
8
Q
(d/dx) (c*f(x))
A
c*f’(x)
9
Q
(d/dx)log(a)(x)
A
1/(x)ln(a)
10
Q
(d/dx)(sin(x))
A
cos(x)
11
Q
(d/dx)(cos(x))
A
-sin(x)
12
Q
(d/dx)(tan(x))
A
sec^2(x)
13
Q
(d/dx)(csc(x))
A
-csc(x)*cot(x)
14
Q
(d/dx)(sec(x))
A
sec(x)*tan(x)
15
Q
(d/dx)(cot(x))
A
-csc^2(x)
16
Q
(d/dx)(sin^-1(x))
A
1/sqrt. (1-x^2)
17
Q
(d/dx)(cos^-1(x))
A
-1/sqrt. (1-x^2)
18
Q
(d/dx)(tan^-1(x))
A
1/(1+x^2)
19
Q
(d/dx)(sqrt. (x))
A
(1/2)x^(-1/2)
20
Q
(d/dx)(cbrt. (x))
A
(1/3)x^(-2/3)
APAB
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