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If f(x) = sec x, find f''(π/4).

  • calculus -

    f'(x) = secxtanx then use the product rule and figure out the derivative of that:

    f''(x) = tanxsecxtanx + secx sec^2x and then it becomes tan^2x + sec^3x.
    then you plug in pi/4 which is 45 degrees.

    it is (1)(1.41) + 2.83 and the answer is 4.24

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