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Calculus Definitions
Calculus
26
Mathematics
Not Applicable
04/17/2008
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Term
y=f(x)+c
 Definition
Moves graph up/down
Term
y=f(x+c)
 Definition
Moves graph left/right
Term
y=cf(x)
 Definition
Scales graph vertically
Term
y=f(cx)
 Definition
Scales graph horizontally
Term
Even function
 Definition
f(-x)=f(x)
Term
Odd function
 Definition
f(-x)=-f(x)
Term
e^x has slope:___ at:___
 Definition
m=1 at x=0
Term
The inverse of an exponential function is a:
 Definition
log function (log_a-x=y <=> a^y=x)
Term
Inverse of e^X
 Definition
lnX
Term
lim[f(x)+g(x)]=
 Definition
lim(f(x)+lim(g(x))
Term
d/dx c=
 Definition
Term
d/dx[cf(x)]=
 Definition
c (d/dx f(x))
Term
d/dx [f(x)+g(x)]=
 Definition
f'(x)+g'(x)
Term
d/dx [f(x)-g(x)]=
 Definition
f'(x)-g'(x)
Term
d/dx [f(x)g(x)]=(product rule)
 Definition
f(x)g'(x)+f'(x)g(x)
Term
d/dx [f(x)/g(x)]=(quotient rule)
 Definition
[g(x)f'(x)-f(x)g'(x)]/[g(x)]²
Term
d/dx f(g(x))=(chain rule)
 Definition
f'(g(x))g'(x)
Term
d/dx (xª)=(power rule)
 Definition
ax^(a-1)
(ex: x²=2x)
Term
[image]
 Definition
Graphs of e^x and lnx
Term
d/dx a^x=
 Definition
(a^x)ln a
Term
d/dx log_a x=
 Definition
1/(x ln a)
Term
d/dx ln x=
 Definition
1/x
Term
d/dx ln u=
 Definition
(1/u)(du/dx)
Term
d/dx ln g(x)
 Definition
(1/g(x))*g'(x)
Term
Relative growth rate formula?
 Definition
y(t)=y(0)e^(kt)
Term
Linear approximations
 Definition
L(x)=f(a)+f'(a)(x-a)
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