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find the derivative of the function

f(x)= tan (10x^2)

  • calculus -

    Use the function of a function or "chain" derivative rule.
    Let u(x) = 10 x^2

    f(x) = f{u(x)}
    f(u) = tan u
    df/dx = (df/du)*(du/dx)
    = sec^2 u *(20 x)
    = 20x *sec^2(10 x^2)

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