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    IB Math AASL
    /
    Differentiation
    /

    Video

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    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Differentiation

    Video Reviews

    Watch comprehensive video reviews for Differentiation, designed for final exam preparation. Each video includes integrated problems you can solve alongside detailed solutions.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    Not your average video:

    Interactive Problems: Solve problems alongside the video with step-by-step guidance and detailed solutions.

    Exam Preparation: Complete unit reviews designed for final exam preparation with all key concepts covered systematically.

    Expert Teaching: High-quality instruction from Perplex co-founder James Mullen with clear explanations, worked examples, and exam tips.

    LimitsDerivativeApplicationsHL

    The video will automatically pause when it reaches a problem.

    Tangent to f(x)

    SL 5.4

    L:mx+c is tangent to f(x) at x=a means

    same ysame y′​{f(a)=ma+cf′(a)=m​🚫

    Using point slope form the equation of the tangent is:

    y−f(a) ⇒y​=m⋅(x−a)🚫 =mx−ma+f(a)🚫​


    Powered by Desmos

    Example

    Find the tangent to f(x)=x2−x at x=1.

    f′(x)=2x−1

    The equation is:

    y−f(1)y−0y​=f′(1)⋅(x−1)=x−1=x−1​

    Tangent to f(x)

    SL 5.4

    L:mx+c is tangent to f(x) at x=a means

    same ysame y′​{f(a)=ma+cf′(a)=m​🚫

    Using point slope form the equation of the tangent is:

    y−f(a) ⇒y​=m⋅(x−a)🚫 =mx−ma+f(a)🚫​


    Powered by Desmos

    Example

    Find the tangent to f(x)=x2−x at x=1.

    f′(x)=2x−1

    The equation is:

    y−f(1)y−0y​=f′(1)⋅(x−1)=x−1=x−1​
    LimitsDerivativeApplicationsHL