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Math Help - Derivative

  1. #1
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    Derivative

    I just don't get it. Please help

    Using the short cut rule find the derivative of the following functions then simplify results. Please explain how you got it

    m(x)=4x^3-15x^2+x-7

    h(x)=(3x^2+7)(x^3-x)

    g(x)=x

    s(t)=4^t5+20t
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  2. #2
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    Quote Originally Posted by Hallah_az
    I just don't get it. Please help

    Using the short cut rule find the derivative of the following functions then simplify results. Please explain how you got it
    m(x)=4x^3-15x^2+x-7
    h(x)=(3x^2+7)(x^3-x)
    g(x)=x
    s(t)=4^t5+20t
    Hello,

    to1.:
    \frac{dm}{dx}=3 \cdot 4x^2-2 \cdot 15x+1=12x^2-30x+1

    to 2. You have to use the procuct rule:

    \frac{dh}{dx}=(x^3-x) \cdot 2 \cdot3x+(3x^2+7)(3 \cdot x^2-1)=15x^4+12x^2-7

    to 3.:
    \frac{dg}{dx}=1

    to 4.: (I assume that you made a mistake in typing the equation)
    \frac{ds}{dx}=5 \cdot 4t^4+20=20(t^4+1)

    Greetings

    EB
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