Find the slope of the tangent in the positive x-direction to the surface z = 3x - 6xy at the point (2, 1, 12).

Q: Find the point (x,y) at which the graph of y=4x2 +4x-8 has a horizontal tangent line

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Q: Find an equation of the tangent plane to the graph of f(x, y) = 4x² – 7xy2 at the point (7, 8) z =

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Q: Find the slope of the tangent line to the curve 4x2 + 2xy - 2y³ = 160 at the point (4, - 4). -

A: We have to find slope of tangent line to the curve  at the point (4, -4) that is dy/dx at (4, -4)

Q: Find the slope of the tangent line to the curve - 4a? – læy + 2y³ : - 4x² = - 4 at the point (2, 2).

A: to find the slope differentiate  the y with respect to x.

Q: Find the slope of the tangent in the positive x-direction to the surface z = 3x3 - 7xy at the point…

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Q: Find the slope of the tangent line to the curves cut from the surface z= 3x? +4y? -6 by planes…

A: The solution are next step

Q: Find the tangent plane to the equation z = 6e" -20 at the point (4, 8, 6)

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Q: Find an equation of the tangent plane to the surface at the given point. x2 + y2 − 7z2 = 27,   (−3,…

A: Differential equations are those equations of mathematics that involve dependent variables ,…