Differential calculus

Multivariable calculus

Differentiation rules

Marginal rate of substitution

Second derivative

Factorization

Running head: DECISION-MAKING IN AGRIBUSINESS 1 DECISION-MAKING IN AGRIBUSINESS 8 Decision-Making in Agribusiness: Quantitative Applications (AGSC5300) Name Institution Decision-Making in Agribusiness: Quantitative Applications (AGSC5300) Problem 1 To differentiate the function, Y=?lnX?, the chain rule is applied. Fundamentally, the rule states that, for a function of the form Y=f(f(X)) the derivative is computed as follows: First, let f(X) be a value, say U. The function may therefore be written as Y=f(U) Then, the function is differentiated with respect to U That is, Next, the derivative of U with respect to X is calculated That is, Combining the above two derivatives gives the chain rule: =* Applying the above rule, let X? be U Therefore, Y=?lnU.

bccalcclassact4aconcavity

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Convex analysis

Curves

Name:________________________ Date:________________________ AP Calculus BC Class Activity 4a: Concavity For the function , find and show where it is concave up on [0, 2?]. Find and show the points of inflection for the function . Find and show the points of inflection for the function . Given the function : Find the critical points for p (x), i.e. the candidates for local maximums and minimums. Use the second derivative test to show which points are maximums and which are minimums. Given the following graph for : Notate the intervals where f (x) is concave up. Notate the intervals where f (x) is concave down. Notate the points of inflection. Given the following graph for : Notate theintervals where g (x) is concave up.

bccalcclassact2tangents

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Generalizations of the derivative

Tangent

Differentiable function

Fermat's theorem

Name:________________________ Date:________________________ AP Calculus BC Class Activity 2: Derivatives and Tangents Evaluate the following limits using the limit definition of derivative and known shortcuts: Find the equation of the tangents lines to the functions below at the given point: 6. Use the table below to answer the following questions: x -2 1 2 6 f (x) 4 8 9 1 Find the average rate of change over the interval (1, 6). Estimate the instantaneous rate of change at the point x = 1. Find where the following functions are differentiable: 10. Find the values of a and b so that g (x) is continuous and differentiable:

Math A Guide

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Algebra

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Cumulative distribution function

rates

Trigonometric functions

A-Level Maths Revision notes 2015 1 Contents Coordinate Geometry ........................................................................................................................... 3 Trigonometry ......................................................................................................................................... 5 Basic Algebra ......................................................................................................................................... 8 Advanced Algebra ............................................................................................................................... 10

ap calculus

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rates

integral

Differentiation rules

Rahn ? 2008 AP Calculus ? Final Review Sheet When you see the words ?. This is what you think of doing 1. Find the zeros of a function. Set the function equal to zero and solve for x. 2. Find equation of the line tangent to f(x) at (a,f(a)). Find f ?(x),the derivative of f(x). Evaluate f ?(a). Use the point and the slope to write the equation: y= f ?(a)(x-a)+f(a) 3. Find equation of the line normal to f(x) at (a,f(a)). Find f ?(x),the derivative of f(x). Evaluate f ?(a). The slope of the normal line is 1 '( )f a ? . Use the point and the slope to write the equation: ( ) ( ) ( ) 1 y x a f a f ? a = ? + 4. Show that f(x) is even. Evaluate f at x = -a and x = a and show they are equal.

AP Calc AB 2004 Scoring Guideliens

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Integral calculus

Ordinary differential equations

Differential topology

integral

Tangent

Separation of variables

education

AP? Calculus AB 2004 Scoring Guidelines The College Board is a not-for-profit membership association whose mission is to connect students to college success and opportunity. Founded in 1900, the association is composed of more than 4,500 schools, colleges, universities, and other educational organizations. Each year, the College Board serves over three million students and their parents, 23,000 high schools, and 3,500 colleges through major programs and services in college admissions, guidance, assessment, financial aid, enrollment, and teaching and learning. Among its best-known programs are the SAT?, the PSAT/NMSQT?, and the Advanced Placement Program? (AP?). The College Board is committed to the principles of

AP Calc AB 2002 Free Response Questions

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Advanced Placement Calculus

L'Hôpital's rule

education

AP? Calculus AB 2002 Free-Response Questions These materials were produced by Educational Testing Service? (ETS?), which develops and administers the examinations of the Advanced Placement Program for the College Board. The College Board and Educational Testing Service (ETS) are dedicated to the principle of equal opportunity, and their programs, services, and employment policies are guided by that principle. The College Board is a national nonprofit membership association dedicated to preparing, inspiring, and connecting students to college and opportunity. Founded in 1900, the association is composed of more than 4,200 schools, colleges, universities, and other educational organizations. Each year, the

UPDATED EXAM INTERMEDIATE ALGEBRA

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Algebra

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polynomials

Algebra

Completing the square

Function

Quadratic function

education

MATH EXAM 1 THRU 3 1 MATH EXAM #1 1. Determine whether the diagram defines y as a function of x. if it does not, indicate a value x that is assigned more than one value of y X y -4 5 -3 7 4 9 4 11 2. GRAPH THE FUNCTION: h(x) =|4-x| X h(x) 3 1 4 0 5 1 6 2 2 2 1 3 3. Determine the graph of the solution of the given system. X + Y > 2 X - Y < 2 MATH EXAM 1 THRU 3 2 3 Determine whether the graph is a function 4. THE GRAPH OF A SYSTEM OF 2 LINEAR INEQUALITES IS SHOWN. TELL WHICH POINT IS A SOLUTION OF THE SYSTEM. MATH EXAM 1 THRU 3 3 6. FIND THE SOLUTION OF THE SYSTEM. X > -2 Y > -4

Ch9 SG

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Ordinary differential equations

Integral calculus

Differential equation

Derivative

Differential of a function

Multiple integral

Order of integration

Law

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Ordinary differential equations

Differentiation rules

Differential equations

Separation of variables

Natural logarithm