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    Calculus - Differentiate



    I have an exam coming up and I am having problems with these two questions. Please show work and final answer. That way I can rewrite what you do so I understand it.

    1. d/dt (x sin x + x^2)/ (x^2 + 1)

    2. Find the second derivative if f(x)= sec(4x)

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    Solution Preview

    (1) You mean find d/dx of (x sin x + x^2)/ (x^2 + 1) ?

    Let y = (x sin x + x^2)/ (x^2 + 1)

    Using quotient rule, we get

    dy/dx = [(x^2 + 1) * {x cos x + sin ...

    Solution Summary

    The expert examines calculus differentiation. A complete, neat and step-by-step solutions are provided.