Implicitly differentiate the equation y? + 4xy +x In 2x = 0. Isolate y' in the resulting equation. Use the result to find the equations of the tangent lines to the graph of this equation at the points (,0) and (;,-2). Convert both tangent line equations to the slope-intercept form y = mx + b.

Q: Write the equations of the lines tangent to the curve y x- 4x at both a 0 and a 2. Then, determine…

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 − x2 + 9,  (2, 29)

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Q: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

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Q: Find equations of the tangent lines to the curve y²-xy-6=0 at the points (-1,2), and (-1,-3).

A: Given curve: We have to find the equations of the tangent line to the curve  at the points  and

Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 3,  (2, 15)

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Q: Find the slope of the curve at the given point P and an equation of the tangent line at P. y = x² +…

A: Let's find