# Calculus Questions

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 _______