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11 June, 07:24

Find the derivative of ((t^4-6) ^3) * ((t^3+6) ^4)

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  1. 11 June, 10:42
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    =d/dx ((t^4-6) ^3) * (t^3+6) ^4 + d/dx ((t^3+6) ^4) * (t^4-6) ^3

    =3 * (t^4-6) ^2 * (t^3+6) ^4 * d/dx (t^4-6) + 4 * (t^3+6) ^3 * (t^4-6) ^3 * d/dx (t^3+6)

    =3 * (t^4-6) ^2 * (t^3+6) ^4 * 4t^3 + 4 * (t^3+6) ^3 * (t^4-6) ^3 * 3t^2

    Simplify that if youd like
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