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Posted by on Wednesday, January 5, 2011 at 8:44am.

what is the slope of the curve y=tan(6x^2) when x=ð

  • calculus - , Wednesday, January 5, 2011 at 8:44am

    it's x=pi.

  • calculus - , Wednesday, January 5, 2011 at 10:00am

    d tan theta/d theta = sec^2 theta

    so sec^2 (6 x^2) * 12 x

    x = pi so sec (6 x^2) = 1/cos(6pi^2)=1.95

    sec^2(6x^2) = 3.82

    12 * pi * 3.82 = 144

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