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Calculus - DERIVATIVE RULES
Derivative rules, 1-20, including special functions
20
Mathematics
11th Grade
12/05/2011
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Term
d/dx[f(x)+-g(x)]
 Definition
f'(x)+-g'(x)
Term
d/dx[k*f(x)]
where k is a constant
 Definition
k*f'(x)
Term
d/dx[f(x)*g(x)]
 Definition
f(x)g'(x)+g(x)f'(x)
Term
d/dx[x^n]
 Definition
n*x^n-1
Term
ddx[f(x)/g(x)]
 Definition
g(x)f'(x)-f(x)g'(x) / (g(x))^2
Term
d/dx[f(g(x))]
 Definition
f'(g(x))*g'(x)
Term
d/dx[constant]
 Definition
zero
Term
d/dx[x]
 Definition
1
Term
d/dx[sin(x)]
 Definition
cos(x)
Term
d/dx[cos(x)]
 Definition
-sin(x)
Term
d/dx[e^x]
 Definition
e^x
Term
d/dx[logbasea(x)]
 Definition
1 / x*ln(a)
Term
d/dx[a^x]
 Definition
(ln(a))*a^x
Term
d/dx[ln(x)]
 Definition
1 / x
Term
d/dx[sec(x)]
 Definition
sec(x)tan(x)
Term
d/dx[tan(x)]
 Definition
sec^2(x)
Term
d/dx[csc(x)]
 Definition
-csc(x)cot(x)
Term
d/dx[arcsin(x)]
 Definition
1 / sqrt(1-x^2)
Term
d/dx[arctan(x)]
 Definition
1 / (1+x^2)
Term
d/dx[cot(x)]
 Definition
-csc^2(x)
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