Find the slope of the tangent to the curve y = x² - 2x + 3. Also find the equation of this tangent.

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: -4 (3x² + 5x) 52

A: Using derivatives property we  can find derivatives of y

Q: b. y sin x at x = ЗП 4

A: To write the equation of the tangent line.

Q: Give the slope-intercept form of a line perpendicular to y=2/3x+1 passing through (-2,3)

A: Given equation of line: y = 23x+1and Point (-2, 3)

Q: Line Tengent to X-2 y= X + 6 at point (-4,-3)

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Q: Find the slope of equation at the given point

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Q: Find the distance from the point (2, 6) to the line 2x - 5y = 0. Distance =

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Q: Graph y = x2 - 2x - 2 and the tangent to the curve at the point whose x-coordinate is 1. Plot graph…

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Q: The tangent line to f(x) = x² at x = –3.

A:

Q: Find the slope-intercept equation of the line passing through the point (2, 1) with a slope of m =…

A: Given: Point (x1,y1) = (2, 1) slope m = 3 To find: Slope intercept equation of line passing through…

Q: y = (x-5)(x+1)

A: Given equation of curve y=x3(x-5)(x+1)                   (1) We have to trace the curve of above…