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Calculus

Explore questions in the Calculus category that you can ask Spark.E!

y = f^-1(x) (Derivative of the Inverse of a Function)
if the derivative is negative the function is
to find the equation of the ___________, find the _____________ & plug in ____________ for m in ____________ equ
to find the __________ (average rate of change) of a tangent line (at a particular pt), find the __________ (instantaneous rate of change), then plug in the __________ of the pt for ____________
if the derivative is positive the function is
for limits at infinity: if the denom and the numerator are the same degree, the limit = ________- eg. lim (2x^2+5)/(3x^2 +1) x -> infinity
special limit: (1 + x)^(1/x) = ________
for limits at infinity: if the degree of the numerator is larger than the denom, the limit = ________- eg. lim (2x^3+5)/(3x^2 +1) x -> infinity
most infinite limits are __________ interpreted/worked out
for limits at infinity: if the denom has a greater degree than the numerator, the limit = ________- eg. lim (2x+5)/(3x^2 +1) x -> infinity
to find the derivative, plug in _________ for x and _______ for h (at the end)
function will assume ________ derivative values at ________ pts
if have limit w/mult parts (eg limit of 2 numbers being added/multiplied); you can ___________ and plug in the x-value __________ in order to figure out the sum
limit will = one ________; function might = diff ________
the limit exists if the right-sided and left-sided limits ________ each other
a horizontal line has _______ slope
example(s) of exponents: being raised to a negative power
special limit: sin(x)/x = __________
A vertical line has ______ slope
limits can approach values from the _______ or _______

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