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Closed Interval Method

"The closed interval method is a way to solve a problem within a specific interval of a function. The solutions found by the closed interval method will be at the absolute maximum or minimum points on ...

Chain Rule

Hipervinculo Matemáticas

Chain Rule

"Use the chain rule to find the derivative of the composite of two functions--the derivative of the "outside" function multiplied by the derivative of the "inside" function. The chain rule is related ...

Calculus Optimization Problems

"Some economics problems can be modeled and solved as calculus optimization problems. These problems usually include optimizing to either maximize revenue, minimize costs, or maximize profits. Solving ...

Calculus Limits

"In Calculus, the term limit is used to describe the value that a function approaches as the input of that function approaches a certain value. There are two ways to demonstrate Calculus limits: a num ...

Calculus Limit

"In Calculus, a limit is used to describe the value that a function approaches as the input of that function approaches a certain value. There are two ways to determine a Calculus limit: a numerical a ...

One-Sided Limits

"A limit is the value that a function approaches as the input of that function approaches a certain value. In Calculus, sometimes functions behave differently depending on what side of the function th ...

Natural Log Integration

"Because the derivatives of e^x and ln(x) are e^x and 1/x, respectively, the integrals of the latter two functions are just the former. If the variable parts of these functions are not just x, but a p ...

Average Value of a Function

"Calculating the average value of a function over a interval requires using the definite integral. The exact calculation is the definite integral divided by the width of the interval. This calculates ...

Average Rate of Change

"The average rate of change of a population is the total change divided by the time taken for that change to occur. The average rate of change can be calculated with only the times and populations at ...

Maxima and Minima

"Finding relative maxima and minima of a function can be done by looking at a graph of the function. A relative maximum is a point that is higher than the points directly beside it on both sides, and ...

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