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Math Help - differentiate 2e^x^3

  1. #1
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    Smile differentiate 2e^x^3

    Is differentiation of 2e^x^3 =

    let y = 2e^x^3
    let u = x^3
    y = 2e^u

    du/dx = 3x^2
    dy/du = 2e^u

    dy/dx = dy/du X du/dx
    = 2e^u X 3x^2
    = 2e^x^3 X 3x^2
    = 6x^2.e^x^3
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  2. #2
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    Quote Originally Posted by ashura View Post
    Is differentiation of 2e^x^3 =

    let y = 2e^x^3
    let u = x^3
    y = 2e^u

    du/dx = 3x^2
    dy/du = 2e^u

    dy/dx = dy/du X du/dx
    = 2e^u X 3x^2
    = 2e^x^3 X 3x^2
    = 6x^2.e^x^3
    You have,
    e^{x^3}

    Let,
    u=x^3
    Then,
    y=e^u
    u=x^3
    Thus,
    \frac{dy}{du}=e^u
    \frac{du}{dx}=3x^2
    Then,
    \frac{dy}{dx}=\frac{dy}{du}\cdot \frac{du}{dx}
    Thus,
    \frac{dy}{dx}=3x^2e^u=3x^2e^{x^3}
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  3. #3
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    Red face

    I take it my working was correct. How do you type powers without using '^' ?
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by ashura View Post
    I take it my working was correct. How do you type powers without using '^' ?
    See the LaTeX tutorials at the beginning of this thread.

    -Dan
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