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Math Help - Basic Derivative

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    Basic Derivative

    What is the derivative of:

    <br />
t^{2} sin bt<br />

    Would that be the product Rule or the Chain Rule?
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  2. #2
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    Quote Originally Posted by fudawala View Post
    What is the derivative of:

    <br />
t^{2} sin bt<br />

    Would that be the product Rule or the Chain Rule?
    A bit of both:
    f(t) = t^2 \cdot sin(bt)

    f^{\prime}(t) = (t^2)^{\prime} \cdot sin(bt) + (t^2) \cdot (sin(bt))^{\prime}

    f^{\prime}(t) = 2t \cdot sin(bt) + (t^2) \cdot cos(bt) \cdot b

    f^{\prime}(t) = 2t \cdot sin(bt) + bt^2 \cdot cos(bt)

    -Dan
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