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Business calculus how to#
Business calculus software#

In this test, denotes the natural logarithm of (that is, the logarithm to the base ).The range of is assumed to be the set of all real numbers where is in the domain of. Unless otherwise specified, the domain of any function is assumed to be the set of all real numbers for which is a real number.Unless otherwise specified, all angles are measured in radians, and all numbers used are real numbers.Straight lines and smooth curves may appear slightly jagged. The figures are drawn as accurately as possible except when it is stated in a specific question that the figure is not drawn to scale. All figures lie in a plane unless otherwise indicated. Figures that accompany questions are intended to provide information useful in answering the questions.Other (e.g., accumulated change from a rate of change).Average value of a function on an interval.Definition of the definite integral as the limit of a sequence of Riemann sums and approximations of the definite integral using areas of rectangles.Solutions of and applications to growth and decay.Distance and velocity from acceleration with initial conditions.

Integration by substitution (use of identities and change of variable).

Integral Calculus (40%) Antiderivatives and Techniques of Integration

Average and instantaneous rates of change.

Velocity and acceleration of a particle moving along a line.

Curve sketching: increasing and decreasing functions relative and absolute maximum and minimum points concavity points of inflection.

Use of L'Hospital's Rule (quotient and indeterminate forms).

Relation between differentiability and continuity.

Statement of the Mean Value Theorem applications and graphical illustrations.

Corresponding characteristics of graphs of, and.

Derivative of the inverse of a function (including and ).

Derivative of a composite function (chain rule), e.g.,, ,.

Derivatives of sums, products and quotients (including and.

Definitions of the derivative, e.g., and.

Limit calculations, including limits involving infinity, e.g.,, is nonexistent, andĭifferential Calculus (50%) The Derivative.

Statement of properties, e.g., limit of a constant, sum, product or quotient.

The percentages next to the main topics indicate the approximate percentage of exam questions on that topic. The subject matter of the Calculus exam is drawn from the following topics.

Solving nonroutine problems involving an understanding of the concepts and applications of calculus (approximately 50% of the exam).

Solving routine problems involving the techniques of calculus (approximately 50% of the exam).

Questions on the exam require candidates to demonstrate the following abilities:

Generate a table of values for a function.

Find points of intersection of graphs of functions.

Perform calculations (e.g., exponents, roots, trigonometric values, and logarithms).

In order to answer some of the questions in Section 2 of the exam, students may be required to use the online graphing calculator in the following ways: Visit ETS to learn more and to practice using the scientific calculator. Students are expected to know how and when to make appropriate use of the calculator.

Business calculus how to#

Information about how to use the calculator is available in the Help icon under the Calculator tab. To use the calculator during the exam, students need to select the Calculator icon. Only some of the questions actually require the graphing calculator.

Business calculus software#

Only some of the questions will require the use of the calculator.Ī graphing calculator, the TI-84 Plus CE, is integrated into the exam software and available to students during Section 2 of the exam. The use of an online graphing calculator (non-CAS) is allowed for this section. Section 2: approximately 17 questions, approximately 40 minutes.No calculator is allowed for this section.

Section 1: approximately 27 questions, approximately 50 minutes.The exam contains 44 questions, in two sections, to be answered in approximately 90 minutes.