Problem Type |
Link |
Numerical Limit of a Rational Function Find a limit of a rational function at a removable discontinuity by making a table of values |
https://www.geogebra.org/classic/su3nstfz
|
Numerical Limit with a Radical Find a limit of a function involving a fraction and a radical at a removable discontinuity by making a table of values |
https://www.geogebra.org/classic/ucsfwfqu
|
Limits from a Graph Evaluate limits, including one sided and infinite limits, using a graph |
https://www.geogebra.org/classic/t4t3wwuj
|
Use Limit Algebra Theorems Find combinations of limits using graphs (Ex: |
https://www.geogebra.org/classic/x5bwusqc
|
Find Limits by Factoring Find a limit of a rational function at a removable discontinuity by factoring |
https://www.geogebra.org/classic/cfy52buj
|
Find Limits using
Conjugates Find
the limit of a function with a radical by multiplying the numerator and
denominator by the conjugate. |
https://www.geogebra.org/classic/ez4x2wjp |
Find Infinite Limits Numerically Make a table to find a limit of a rational function at a point not in the domain; most of the random problems have infinite limits |
https://www.geogebra.org/classic/nzg2enfv
|
Find Limits at Asymptotes Graphically Using a graph, find infinite limits |
https://www.geogebra.org/classic/udu5jxvy
|
Finding Limits at Infinity Numerically Find the limit of a rational function as x approaches positive or negative infinity by making a table of values |
https://www.geogebra.org/classic/zax9u5mr
|
Explore Limits
Numerically Autofills a table with function values for inputs
near a given value. User enters function and x-value. |
https://www.geogebra.org/classic/khrsskz5 |
Finding the limit at of a Rational Function Algebraically Find the limit of a
rational function as x approaches positive or negative infinity by dividing
all terms by the largest power of x in the denominator |
https://www.geogebra.org/classic/zscz9syy
|
Describe Discontinuities Given a graph, describe the discontinuities and list the intervals where the function is continuous |
https://www.geogebra.org/classic/hr8qcpxx
|
Average Rate of Change Compute an average rate of change |
https://www.geogebra.org/classic/gqp4vjey
|
Average Velocity Compute an average velocity |
https://www.geogebra.org/classic/j8qdb6su
|
Instantaneous Rate of Change (numerically) Find an instantaneous rate of change for a function at x= a using another value “very” close to a |
https://www.geogebra.org/classic/zx2b3865
|
Trace the Graph of
f’(x) Enter
a function and drag a point to see a trace of the derivative. |
https://www.geogebra.org/classic/mafguwgm |
Secant and Tangent Lines Given
a function, values of a and h, displays the tangent line to f at x = a and
the secant line from x = a to x = a+h. |
https://www.geogebra.org/classic/ckxrzws3 |
Secant and Tangent Lines
2 Given
a function f and value for a, displays the tangent line and secant lines for
h = 1, 0.5, 0.1, 0.01, and 0.001 with check boxes. |
https://www.geogebra.org/classic/psdv8wm9 |
Derivative of a Quadratic Find the derivative of a quadratic function with positive coefficients using the derivative definition |
https://www.geogebra.org/classic/rfmfzrhn
|
Derivative of a Quadratic Find the derivative of a quadratic function using the derivative definition |
https://www.geogebra.org/classic/ytrdtfwr
|
Derivative of a Square Root Function Find the derivative of a square root function using the derivative definition |
https://www.geogebra.org/classic/zamxmfkt
|
Derivative of an Inverse Proportion Find the derivative of function of the form y = k/x using the derivative definition |
https://www.geogebra.org/classic/psjzcpbb
|
Interpret a Derivative Find the units and interpret a derivative value in an applied context |
https://www.geogebra.org/classic/efxg2rcr
|
Derivative of a
Polynomial Find the derivative of a
cubic or quadratic polynomial using the power rule. |
https://www.geogebra.org/classic/gc6cewwa |
Power Rule Find derivatives with the power rule (requires some algebra first) |
https://www.geogebra.org/classic/ssjgfxnj
|
Tangent to a Polynomial Find the equation of a tangent line to a polynomial at a given x-value |
https://www.geogebra.org/classic/kzcuwsc9
|
Horizontal Tangent Lines Find location of horizontal
tangent lines to a cubic polynomial. |
https://www.geogebra.org/classic/zcfazaqh |
Product Rule Find derivatives with the product rule; functions involve polynomials, exponentials, logarithms, and trig. functions |
https://www.geogebra.org/classic/vb6ncwqx
|
Marginal Revenue Find and interpret a
marginal revenue |
https://www.geogebra.org/classic/cryqpwn9 |
Marginal Cost Find and interpret a
marginal cost. |
https://www.geogebra.org/classic/m9cs5dsb |
Product Rule 1 Find a derivative with the
product rule. (no trig.) |
https://www.geogebra.org/classic/phtgkh8x |
Product Rule 2 Find a derivative with a
product rule. (may have trig) |
https://www.geogebra.org/classic/vb6ncwqx |
Quotient Rule (Rational
Functions) 1 Find the derivative of a rational function (quadratic over linear) using the quotient rule |
https://www.geogebra.org/classic/fa2pghuq
|
Quotient Rule (Rational Functions) 2 Find the derivative of a rational function (linear over linear) using the quotient rule |
https://www.geogebra.org/classic/ewxfce5c
|
Numerical Product and
Quotient Rule Find derivatives of quotient
and products numerically given function and derivative values. |
https://www.geogebra.org/classic/fbgpt8hk |
Chain Rule Find a derivative of a
function that is the composition of a polynomial and a trig, exponential, or
logarithmic function |
https://www.geogebra.org/classic/wtnpebnv |
Chain Rule Find a derivative of a
polynomial raised to a power |
https://www.geogebra.org/classic/xfyg9sxh |
Chain Rule Find a derivative of a
polynomial inside an exponential, logarithm, square root, or 1/x. |
https://www.geogebra.org/classic/gxfeynmm |
Chain Rule Find a derivative of 1 over
the square root of a polynomial |
https://www.geogebra.org/classic/exc4yfz6 |
Chain Rule Find the derivative of the
square root of a polynomial |
https://www.geogebra.org/classic/prt4bbaz |
Chain Rule/ Quotient
Rule Find the derivative of a
square root of a rational function |
https://www.geogebra.org/classic/wwfdysgy |
Random Derivative Find the derivative of a
randomly generated function. May require product rule, quotient rule, power
rule, chain rule, and derivatives of polynomials, exponentials, natural
logarithms, or trig functions |
https://www.geogebra.org/classic/bw4muwyr |
MVT Drag
a point to try and find a value that satisfies the MVT (slope of tangent line
= slope of secant line) |
https://www.geogebra.org/classic/ha6mbfdj |
Increasing, Decreasing,
Max/Min Use
the first derivative to determine where a cubic function is increasing and
decreasing. Then identify the local extrema. |
https://www.geogebra.org/classic/v9htmtty |
Increasing, Decreasing,
Max/Min, Concavity, Inflection Points Use the first derivative to tell where a cubic function
is increasing and decreasing and identify the local maxima and minima. Use the second derivative
to describe concavity and inflection points. |
https://www.geogebra.org/classic/ry67ph53 |
Increasing, Decreasing,
Max/Min Use the first derivative to
tell where a function with rational exponents is increasing and decreasing
and identify the local maxima and minima. Use the second derivative
to describe concavity and inflection points. |
https://www.geogebra.org/classic/y7wfptc7 |
Left-Hand Sums Compute
left-hand Riemann sums with step-by-step solutions |
https://www.geogebra.org/m/ezhrtng9 |
Definite Integral as
Area Evaluate
a definite integral given a graph and areas. |
https://www.geogebra.org/classic/ajausgkt |
Definite Integral from
Triangle Area Use
a graph to find a definite integral where the areas are triangles. |
https://www.geogebra.org/classic/uuyjjm4d |
Another Integral from
Triangle Areas |
https://www.geogebra.org/classic/knggdgsh |