Consider the curve given by y = 3x* – 6x2 + 2, a. Find the slope of the curve at the point whose x -coordinate is 2. b. Find an equation for the tangent line at the point (1,–1). c. Find the point(s) on the curve at which the tangent line is horizontal.

Q: Determine the slope of the curve y = x² + 2x at the point (-1, -3) on the curve.

A: We have to determine the slope of the given curve at the point .

Q: Find the equation of the line tangent to the graph of 2x³9x² + 2x 6 at x = 1. y = NOTE: Enter a…

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Q: Find the point in the first quadrant on the curve y = x + x - l closest to the origin.

A:

Q: The line y = 2x + b is tangent to the graph of y = 1x at the point P = (a, 1a). Find P and determine…

A: Given: The line y=2x+b is tangent to the graph of y=x at the point Pa,a. To find P and determine b.…

Q: Find the exact distance the point p (-2,-4) and the line y=1/3x+2

A: Solution ) y = (1/3)x +2  Slope of perpendicular to this line would be  m = - ( 1/1/3)  m = -3…

Q: Find the exact area of the region inside r = 4 + 4sin(0).

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Q: Find the slope of the tangent line to the curve - 322 + 2xy – 3y° - 88 at the point (– 4, 2).

A: The given curve -3x2+2xy-3y3=-88 at the point (-4,2)