• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
Equations Determining Lines
Equations Determining Lines

The Lambda Calculus - Computer Science, Columbia University
The Lambda Calculus - Computer Science, Columbia University

Test 2
Test 2

C. CONTINUITY AND DISCONTINUITY
C. CONTINUITY AND DISCONTINUITY

For a rational function f(x) = p(x) / q(x), where p(x)
For a rational function f(x) = p(x) / q(x), where p(x)

Section 2.3 Continuity AP Calculus - AP Calculus
Section 2.3 Continuity AP Calculus - AP Calculus

AP Calculus AB Course Outline
AP Calculus AB Course Outline

AP Calculus
AP Calculus

1.2 Elementary functions and graph
1.2 Elementary functions and graph

Math 201-103-RE Practice Assignment 5 Applications of the
Math 201-103-RE Practice Assignment 5 Applications of the

Calculus I: Section 1.3 Intuitive Limits
Calculus I: Section 1.3 Intuitive Limits

The Lambda Calculus - Computer Science, Columbia University
The Lambda Calculus - Computer Science, Columbia University

Department of Physics and Mathematics
Department of Physics and Mathematics

Fundamental Theorem of Calculus, Riemann Sums, Substitution
Fundamental Theorem of Calculus, Riemann Sums, Substitution

... Notice that the integral involves one of the terms above. Substitute the appropriate u. Make sure to change the dx to a du (with relevant factor). Simplify the integral using the appropriate trig identity. Rewrite the new integral in terms of the original non-Ѳ variable (draw a reference right-trian ...
Essential Mathematics for Political and Social Research Jeff Gill
Essential Mathematics for Political and Social Research Jeff Gill

Newton and Leibniz: the Calculus Controversy
Newton and Leibniz: the Calculus Controversy

Unit 11.1 Exponential Functions Post
Unit 11.1 Exponential Functions Post

Calculus Curriculum Questionnaire for Greece
Calculus Curriculum Questionnaire for Greece

Handouts Week 4 - Harvard Mathematics Department
Handouts Week 4 - Harvard Mathematics Department

CalcWSInvFunctions WS 8
CalcWSInvFunctions WS 8

Calculus 1.5
Calculus 1.5

Handout PDF
Handout PDF

With(out) A Trace - Matrix Derivatives the Easy Way
With(out) A Trace - Matrix Derivatives the Easy Way

M101 Tut4_SolnD
M101 Tut4_SolnD

LINEARIZATION AND DIFFERENTIALS For a function y(x) that is
LINEARIZATION AND DIFFERENTIALS For a function y(x) that is

< 1 ... 3 4 5 6 7 8 9 10 11 ... 22 >

Derivative



The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time is advanced. The derivative of a function of a single variable at a chosen input value is the slope of the tangent line to the graph of the function at that point. This means that it describes the best linear approximation of the function near that input value. For this reason, the derivative is often described as the ""instantaneous rate of change"", the ratio of the instantaneous change in the dependent variable to that of the independent variable.Derivatives may be generalized to functions of several real variables. In this generalization, the derivative is reinterpreted as a linear transformation whose graph is (after an appropriate translation) the best linear approximation to the graph of the original function. The Jacobian matrix is the matrix that represents this linear transformation with respect to the basis given by the choice of independent and dependent variables. It can be calculated in terms of the partial derivatives with respect to the independent variables. For a real-valued function of several variables, the Jacobian matrix reduces to the gradient vector.The process of finding a derivative is called differentiation. The reverse process is called antidifferentiation. The fundamental theorem of calculus states that antidifferentiation is the same as integration. Differentiation and integration constitute the two fundamental operations in single-variable calculus.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report