# Shared Flashcard Set

## Details

Derivative Rules
Derivative Rules for AP Calculus
21
Mathematics
10/06/2014

Term
 axn
Definition
 anxn-1
Term
 f(x) • g(x)
Definition
 f(x)g'(x) + g(x)f'(x)
Term
 f(x) ---------- g(x)
Definition
 g(x)f'(x) - f(x)g'(x) ------------------------- [g(x)]2
Term
 f(g(x))
Definition
 f'(g(x)) • g'(x)
Term
 sinx
Definition
 cosx
Term
 cosx
Definition
 -sinx
Term
 tanx
Definition
 sec2x
Term
 secx
Definition
 tanxsecx
Term
 cscx
Definition
 -cotxcscx
Term
 cotx
Definition
 -csc2x
Term
 lnx
Definition
 1 ---- x
Term
 ex
Definition
 ex
Term
 ax
Definition
 axlna
Term
 logbx
Definition
 1 ------ xlnb
Term
 f-1(x)
Definition
 1 ---------- f'(f-1(x))
Term
 sin-1x
Definition
 1 ---------- √(1-x2)
Term
 cos-1x
Definition
 -1 ---------- √(1-x2)
Term
 tan-1x
Definition
 1 --------- 1+x2
Term
 sec-1x
Definition
 1 --------- lxl √(x2-1)
Term
 csc-1x
Definition
 -1 --------- lxl√(x2-1)
Term
 cot-1x
Definition
 -1 ---------- x2+1
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