November 28, 2011 d sec-1x = dx 1 |x|√ x2 - 1 d csc-1x = dx d cot-1x = dx d dx sec-1x + √(x2 + 1) = d sec -1(x3) = dx d cot -1(3x) = dx d csc -1 x = 3 dx d cot -1 √(x) = dx 1 |x|√ x2 - 1 1 1 + x2 y = 3x2 + 4x + 2 Write an equation for the line tangent to y = tan-1x at x = 1 y(1) = y'(1) = Write an equation for the line tangent to y = arcsin x at x = 0.5 y-1(9) = (y-1)'(9) = November 28, 2011 If f(x) = 3x2 - x and g(x) = f -1(x), then g'(10) =
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