Differential Calculus - PART 2 - Derivatives

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Differential Calculus - PART 2 - Derivatives

Transcript of Differential Calculus - PART 2 - Derivatives

  • PART [2]

    DERIVATIVES [1] Find the derivative of

    [A] [B] [C] [D] [SOLUTION] Assume: x=2

    Cqy2^4Q)$$2qJz Evaluate choice [A] at x=2

    C3^(4Q)+2)$h2)r2= (Mismatch therefore its a WRONG answer.) Evaluate choice [B] at x=2

    C2^(4Q)+2)$h2)r2= (Choice [B] matches the derivative of the given function at x=2, therefore this is the CORRECT answer.)

    [2] Find the derivative of with respect to if . [A] [B] [C] [D]

    [3] Find if

    [A]

    [B]

    [C]

    [D] [4] Find if

    [A]

    [B]

    [C]

    [D]

    [5] Find the derivative of with respect

    to .

    [A]

    [B]

    [C]

    [D]

    [6] Find the derivative of .

    [A]

    [B]

    [C]

    [D]

    [7] Find the derivative of .

    [A]

    [B]

    [C]

    [D]

    [8] Find the derivative of .

    [A]

    [B]

    [C]

    [D]

    [9] Find the derivative of .

    [A]

    [B]

    [C]

    [D]

    [10] If , find .

    [A]

    [B]

    [C]

    [D]

    [11] Find if .

    [A] [B]

    [C]

    [D]

    [12] Find the derivative of with respect to if . [A] [B]

    [C]

    [D]

    [13] If , find

    .

    [A] [B] [C] [D]

    [14] Find the derivative of .

    [A] [B] [C] [D]

    [SOLUTION]: Assume

    CqyQ)^Q)$$2=qJz Try to evaluate choice [A] at

    Q)^Q)$(2+hQ)))r= Try to evaluate choice [B] at

    !!!!!!o1r=

    [15] Find the derivative of .

    [A]

    [B]

    [C]

    [D]

    [16] What is the derivative with respect to of

    . [A] [B] [C] [D]

    [17] What is the derivative of with

    respect to . [A] [B] [C] [D]

    [18] The derivative of [ ] with

    respect to is [A] [B] [C] [D]

    [19] Find the derivative of

    .

    [A]

    [B]

    [C]

    [D]

    -x-x-x-x-x-NOTHING FOLLOWS- x-x-x-x-x-