## Using Desmos to compute Reimann sums.

p. 443, #15....

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p. 443, #15....

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Example from p. 320, #3....

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Use logarithms to solve for t in the compound interest formula....

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An example of an optimization problem requiring a constraint....

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Use a tool created with Desmos to compute approximations for the area between a curve and the x-axis....

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Computing the Value of the Second Derivative with Desmos...

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Computing the elasticity of demand for a give demand equation and price....

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Use definite integrals to compare average values of a function over different intervals....

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Find the Riemann Sum for a function on an interval....

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Find the derivative of a function with involving the natural log of a quotient....

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Find the derivative of a function involving ln(x)....

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Locate the inflection points of y = 2e^(-x^2)....

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Find the derivative of (ln x)/x using the quotient rule and the derivative of ln(x)....

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Use derivatives to find the tangent to an exponential function at a given point....

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Discussion of the formula for compounding interest continuously along with an example....

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Developing and using a formula for the present value of an investment with compound interest....

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Explanation of the effective rate of interest formula and an example of how to use it to calculate the effective rate....

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Introduction to the compound interest formula with one brief example....

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Use logarithms to solve exponential equations....

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Use logarithms to solve an application of Newton's Law of Cooling....

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Using laws of logarithms to expand an expression....

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Use graphing and the first derivative to find extreme values of a function....

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Use derivatives to find largest area enclosed by a fence and a river....

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Find intervals where a function is concave up and concave down using the second derivative....

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Find intervals where a function is concave upward and concave downward from a graph....

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Find the intervals where a function is increasing or decreasing using the first derivative....

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Find intervals where a function is increasing and decreasing from a graph....

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Using the Second Derivative Test to find extreme values of a function....

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Use derivatives to find marginal cost, marginal revenue, and marginal profit....

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Example of computing actual profit realized and also marginal profit using the derivative....

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Find the derivative of a product when one of the factors is a composition. (Use the product rule with the chain rule just for fun.)...

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Using the derivative of a function to find its rate of increase at given values....

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Use the Definition of Derivative (the four step process) to find the derivative of a function and use it to find a horizontal tangent....

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An introduction to Limits....

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Sketch the graph of a demand equation and find the level of production for a given unit price....

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Pretty generous hint for p. 91, #46, where we compare two functions and locate their intersection....

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A hint for #33, which uses a function to make a projection....

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Find m and b for a linear function given a function value and the slope....

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Composition of f(x) and g(x)....

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Operations with algebraic fractions...

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Find absolute max and min values of a function with Geogebra....

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Determine the intervals where the graph of a function is concave up and intervals where a function is concave down....

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Find the value of a given points on top parallel lines....

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A short example for entering polynomials into CalcPad on WebAssign....

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Compounding Continuously...

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Find the derivative of a function with an ln(u) using the chain rule....

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Playing with MathPad on my iPad...

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Find the absolute max and min of a function using derivatives....

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