calculus

Differentiate.

sqrt((6x^2 + 5x + 1)^3)

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  1. Use the chain rule.
    Let u(x) = 6x^2 + 5x + 1

    f(x) = u(x)^3/2
    df/dx = df/du*du/dx
    = (3/2)*sqrt(6x^2 + 5x + 1)*(12x + 5)

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  2. In google type:
    wolfram alpha

    When you see list of results click on:
    Wolfram Alpha:Computation Knowledge Engine

    When page be open in rectangle type:
    sqrt((6x^2 + 5x + 1)^3)

    and click option =

    After few seconds you will see everything about that functions.

    Then click option:
    Derivative: Shov steps

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