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Math Help - Calculus AB problems

  1. #1
    tallboi562
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    Calculus AB problems

    Can you help me out with these problems.

    Find the slope of the line tangent to the curve y=sin^5x at the point where x=3

    Show that slope of every line tangent to the curve y= 1/(1-2x)^3 is positive.

    Find the tangent and normal lines to the ellipse x^2 -xy + y^2 = 7 at the point (-1, 2)
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  2. #2
    MHF Contributor
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    Quote Originally Posted by tallboi562
    Can you help me out with these problems.

    Find the slope of the line tangent to the curve y=sin^5x at the point where x=3

    Show that slope of every line tangent to the curve y= 1/(1-2x)^3 is positive.

    Find the tangent and normal lines to the ellipse x^2 -xy + y^2 = 7 at the point (-1, 2)
    For #1, how does one find the slope of a tangent line?
    For #2, again, find the general slope of the tangent line and watch for it's trends.
    For #3, implicit differentiation will need to be used here. Start off and tell me what you get.
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