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dc

dc
35問 • 1年前
  • ユーザ名非公開
    • 通報

    問題一覧

  • 1

    What is the most proved theorem in mathematics and how many proofs it has?

    Pythagorean theorem with more than 370 proofs

  • 2

    Where did calculus derive from

    derive from latin word calx which means stone and greek work chalis which means limestone

  • 3

    He published his early work of calculus on ______ and what is his name?

    he published his early works of calculus on 1684 and his name is Gottfried Wilhelm Von Leibniz

  • 4

    English astronomer, physicist, and mathematician who made his early study of calculus but did not publish until?

    1704

  • 5

    Founder of todays calculus

    Isaac Newton and Gottfried Wilhelm Von Leibniz

  • 6

    Areas of calculus

    differential calculus, integral calculus, differential calculus, calculus of variations

  • 7

    Branch of mathematics which deals with limits ad derivatives

    differential calculus

  • 8

    What is this branch of dc to Let f be a function that is define on an open interval containing

    limits

  • 9

    What is derivatives?

    function expresses the rate of change with respect to an independent variable

  • 10

    A straight lune that touches the curve at a given point

    tangent line

  • 11

    A point on the graph where the derivative is zero or undefined

    critical point

  • 12

    A point on the curve where the concavity changes meaning the second derivative changes sign

    infliction point

  • 13

    Describes the direction of the curvature of a graph

    concavity

  • 14

    A technique used to differentiate equations where y is not implicitly solve for x

    implicit differentiation

  • 15

    Integral of sin u du

    -cos u du +c

  • 16

    Integral of cos u du

    sin u du +c

  • 17

    Integral of tan u du

    ln sec u +c

  • 18

    Integral of cot u du

    ln sin u +c

  • 19

    Integral of sec u du

    ln (sec u + tan u) +c

  • 20

    Integral of du

    u+c

  • 21

    Integral of u^n du

    u^n+1/n+1 +c

  • 22

    Integral of du/u

    ln u +c

  • 23

    Integral of e^u du

    e^u +c

  • 24

    Integral of ln u du

    u ln u - u +c

  • 25

    Derivative of constant

    0

  • 26

    Derivative of d(u^n)

    nu^n-1 du

  • 27

    Derivative of d(u+v)

    du+dv

  • 28

    Derivative of sin u

    cos u du

  • 29

    Derivative of cot u

    csc² u du

  • 30

    Derivative of sec u

    sec u tan u du

  • 31

    Derivative of csc u

    -csc u cot u du

  • 32

    Derivative of log a^u

    log e^du/u

  • 33

    Derivative of tan u du

    sec² u du

  • 34

    Derivative of e^u

    e^u du

  • 35

    Derivative of ln u

    du/u

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    問題一覧

  • 1

    What is the most proved theorem in mathematics and how many proofs it has?

    Pythagorean theorem with more than 370 proofs

  • 2

    Where did calculus derive from

    derive from latin word calx which means stone and greek work chalis which means limestone

  • 3

    He published his early work of calculus on ______ and what is his name?

    he published his early works of calculus on 1684 and his name is Gottfried Wilhelm Von Leibniz

  • 4

    English astronomer, physicist, and mathematician who made his early study of calculus but did not publish until?

    1704

  • 5

    Founder of todays calculus

    Isaac Newton and Gottfried Wilhelm Von Leibniz

  • 6

    Areas of calculus

    differential calculus, integral calculus, differential calculus, calculus of variations

  • 7

    Branch of mathematics which deals with limits ad derivatives

    differential calculus

  • 8

    What is this branch of dc to Let f be a function that is define on an open interval containing

    limits

  • 9

    What is derivatives?

    function expresses the rate of change with respect to an independent variable

  • 10

    A straight lune that touches the curve at a given point

    tangent line

  • 11

    A point on the graph where the derivative is zero or undefined

    critical point

  • 12

    A point on the curve where the concavity changes meaning the second derivative changes sign

    infliction point

  • 13

    Describes the direction of the curvature of a graph

    concavity

  • 14

    A technique used to differentiate equations where y is not implicitly solve for x

    implicit differentiation

  • 15

    Integral of sin u du

    -cos u du +c

  • 16

    Integral of cos u du

    sin u du +c

  • 17

    Integral of tan u du

    ln sec u +c

  • 18

    Integral of cot u du

    ln sin u +c

  • 19

    Integral of sec u du

    ln (sec u + tan u) +c

  • 20

    Integral of du

    u+c

  • 21

    Integral of u^n du

    u^n+1/n+1 +c

  • 22

    Integral of du/u

    ln u +c

  • 23

    Integral of e^u du

    e^u +c

  • 24

    Integral of ln u du

    u ln u - u +c

  • 25

    Derivative of constant

    0

  • 26

    Derivative of d(u^n)

    nu^n-1 du

  • 27

    Derivative of d(u+v)

    du+dv

  • 28

    Derivative of sin u

    cos u du

  • 29

    Derivative of cot u

    csc² u du

  • 30

    Derivative of sec u

    sec u tan u du

  • 31

    Derivative of csc u

    -csc u cot u du

  • 32

    Derivative of log a^u

    log e^du/u

  • 33

    Derivative of tan u du

    sec² u du

  • 34

    Derivative of e^u

    e^u du

  • 35

    Derivative of ln u

    du/u