Its applications

"Calculus and its applications: 1.7"  The chain rule have objective: find the composition of two functions, differentiate using the extended power rule or the chain rule.
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"Calculus and its applications: 4.3"  Objective: find the area under a curve over a given closed interval, evaluate a definite integral, interpret an area below the horizontal axis, solve applied problems involving definite integrals.
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"Calculus and its applications: 4.6"  Integration TechniquesIntegration by parts have objective: evaluate integrals using the formula for integration by parts, solve applied problems involving integration by parts.
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"Calculus and its applications: 1.1"  Limits A Numerical and Graphical Approach have objective: Find limits of functions, if they exist, using numerical or graphical methods.
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"Calculus and its applications: 1.2"  Algebraic limits and continuity have objective: develop and use the limit principles to calculate limits, determine whether a function iscontinuous at a point.
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"Calculus and its applications: 1.3"  Calculus and its applications 1.3Average rates of change have objective: compute an average rate of change, find a simplified difference quotient.
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"Calculus and its applications: 1.4"  Differentiation using limits of difference quotients have objective: find derivatives and values of derivatives, find equations of tangent lines.
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"Calculus and its applications: 1.5"  Objective: differentiate using the power rule or the sumdifference rule, differentiate a constant or a constant times a function, determine points at which a tangent line has a specified slope.
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"Calculus and its applications: 1.6"  Objective: differentiate using the product and the quotient rules; use the quotient rule to differentiate the average cost, revenue, and profit functions.
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"Calculus and its applications: 1.8"  Higher order derivatives have objective: find derivatives of higher order; given a formula for distance, find velocity and acceleration.
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"Calculus and its applications: 2.1"  Using first derivatives to find maximum and minimum values and sketch graphs have objective: find relative extrema of a continuous function using the firstderivative test, sketch graphs of continuous functions.
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"Calculus and its applications: 2.2"  Using Second derivatives to find maximum and minimum values and sketch graphs have objective: find the relative extrema of a function using the secondderivative test, sketch the graph of a continuous function.
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"Calculus and its applications: 2.4"  Using derivatives to find absolute maximum and minimum values have objective: find absolute extrema using maximumminimum principle 1, find absolute extrema using maximumminimum principle 2.
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"Calculus and its applications: 2.5"  MaximumMinimum ProblemsBusiness and Economics applications have objective: solve maximum and minimum problems using calculus.
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"Calculus and its applications: 2.6"  Marginals and differentials have objective: find marginal cost, revenue, and profit, find ∆y and dy, Use differentials for approximations.
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"Calculus and its applications: 2.7"  Calculus and its applicationsimplicit differentiation and related rates have objective: differentiate implicitly, solve related rate problems.
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"Calculus and its applications: 4.1"  Objective: find an antiderivative of a function; evaluate indefinite integrals using the basic integration formulas; use initial conditions, or boundary conditions, to determine an antiderivative.
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"Calculus and its applications: 4.2"  Antiderivatives as Areas have Objective: find the area under a graph to solve realworld problems, use rectangles to approximate the area under a graph.
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"Calculus and its applications: 4.4"  Objective: use the properties of definite integrals to find the area between curves, solve applied problems involving definite integrals, determine the average value of a function.
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"Calculus and its applications: 4.5" Calculus and its applications  integration techniquessubstitution have objective: evaluate integrals using substitution.
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