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Derivatives
derivatives of:Trig functions, exponential and log functions, and inverse trig functions
16
Mathematics
12th Grade
10/25/2011
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Term
derivative of sin(x)
 Definition
cos(x)
Term
derivative of cos(x)
 Definition
-sin(x)
Term
derivative of tan(x)
 Definition
sec^2(x)
Term
derivative of cot(x)
 Definition
-csc^2(x)
Term
derivative of csc(x)
 Definition
-cot(x)csc(x)
Term
derivative of sec(x)
 Definition
tan(x)sec(x)
Term
derivative of e^u
 Definition
e^u (du/dx)
Term
derivative of a^u
 Definition
a^u (ln(a)) (du/dx) where a>o and a doesn't equal 1
Term
derivative of ln(u)
 Definition
1/u (du/dx)
Term
derivative of log base a of u
 Definition
1/(u*ln(a)) (du/dx) where a>0 and a doens't equal 1
Term
derivative of the inverse of sin(u)
 Definition
1/(square root of: (1-u^2)) (du/dx)
Term
derivative of the inverse of cos(u)
 Definition
-1/(square root of: (1-u^2)) (du/dx)
Term
derivative of the inverse of tan(u)
 Definition
1/(1+u^2) (du/dx)
Term
derivative of the inverse of cot(u)
 Definition
-1/(1+u^2) (du/dx)
Term
derivative of the inverse of sec(u)
 Definition
1/( |u| (square root of:u^2-1)) (du/dx)
Term
derivative of the inverse of csc(u)
 Definition
-1/( |u| (square root of:u^2-1)) (du/dx)
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