Average rate of change is...AROC=Instantaneous rate of change is...point slope form equationdifferentiability requires...Product RuleQuotient
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Rule
f(x) = sin(x)
f(x) = cos(x)
f(x) = tan(x)
f(x) = cot(x)
f(x) = sec(x)
f(x) = csc(x)
Chain rule
Explicitly written functions
Implicitly written functions
Inverse functions
(f^-1)'(x) =
y= sin^-1(u)
y= cos^-1(u)
y= tan^-1(u)
y= cot^-1(u)
y= sec^-1(u)
y= csc^-1(u)
f(x) = e^u
f(x) = ln(u)
Velocity is the derivative of...
Acceleration is the derivative of...
An under-approximation occurs when...
an over-approximation occurs when...
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