What is the slope of the tangent line to the graph of x^2-4y^2 + 2x + 4y = 8 at (4, -2)?

Q: find a x-coordinate of the point on the curve xy=x^3-2/3x^2+2x+1/12, where the tangent line is…

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Q: Find the slope of the curve x^2 + y^2 = 3 + xy at (0,√3). (Simplify your answer.)

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Q: The graph of f(x)=x^3-3x^2-3x+10 has a slope of 6 at two points. Find the coordinates of the points…

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Q: Define f(x)=2x^4-3x^2 as a Maple function. Find the equation of the tangent line at the point x=2.3.…

A: We have,  fx=2x4-3x2 The derivative of fx is f'x=8x3-6x Slope of tangent line at (2,3) is f'2=8…