Derivatives Flashcards

Terms Definitions
(d/dx) cf(x)
Cf'(x)
(f(x) + or - g(x))
f'(x) + or - g'(x)
(d/dx) (x^n)
nx^(n-1)
(d/dx) (c)
0
(fg)'
f'g + fg'
(f/g)'
(f'g - g'f)/(g^2)
(d/dx) f(g(x)
f'(g(x))g'(x)
(d/dx) e^(g(x))
g'(x)e^(g(x))
(d/dx) (ln g(x))
g'(x)/g(x)
(d/dx) x
1
(d/dx) cx
c
(d/dx) x^(n)
nx^(n-1)
(d/dx) cx^n
ncx^(n-1)
sin
cos
cos
-sin
tan
sec^2
sec
sec tan
csc
-csc cot
cot
-csc^2
sin^-1
1/(sqrt(1-x^2))
cos^-1
-1/(sqrt(1-x^2))
tan^-1
1/(1+x^2)
sec^-1
1/(lxlsqrt(x^2 -1))
csc^-1
-1/(lxlsqrt(x^2 -1))
cot^-1
-1/(1+x^2)
a^(x)
a^(x) ln(x)
e^x
e^x
ln(x)
1/x
ln lxl
1/x
loga(x)
1/xln(a)
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Term:
Definition:
Definition:

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