Back to my main GGB page

 

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