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y= (t^3 + t)/(t^4 - 2)

  • Calculus - ,

    This is derivative of a division (fraction.

    the rule is

    the denominator times the derivative of the numerator - the numerator times the derivative of the denominator.

    ALL OVER the denominator squared.

    The denominator of the derivative is the easy part. It is just (t^4 -2)^2

    Now.. lets work on the other part.

    (t^4 -2)(3t^2+1)-(t^3+t)(4t^3)

    You have to multiply and simplify the numerator and put it over the denominator. Be careful of the negative signs.

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