a) find the slope of the curve y=x^3-11x at the given point P(2,-14) by finding the limiting value of the slope of the secants through P. b) find an equation of the tangent line to the curve at P(2,-14)

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A: Topic - tangent lines to curve passing through Given point outside curve

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Q: I dont know where to start this problem. It would be great to have some help

A: Given:

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A: Derivative y with respect to x and then substitute the given point to find the slope.

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Q: Find the equation for the tangent line of the graph of y = x² at (-4, 16). Equation:

A: The given equation is; y=x2 at (-4,16)

Q: 9. Find the equation of the tangent line at point (2,2) on the curve fx) = x²- 7x + 12.

A: To find the equation of the tangent line

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Q: Find the equations of the tangent line and normal line to the parabola y=2x2 at the point (2,8).

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Q: Find the slope of the tangent line to the parabola y = x2 at the point (2, 4) by analyzing the…

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A: Given,y=x3-3Point P -2,-11The slope of the secant line ism=fb-fab-a

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A: 7. The equation is given by x2y+xy2 = 3x                                                ......(1)…

Q: Find the slope of the tangent line to the graph at the given point. (x² + y²)² = 4x²y, (1,1)

A: To find slope of tangent of a curve at a given point, we need to find differential at that point

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A: if line L1 having slope m1 and line L2 having slope m2 are perpendicular then m1m2=-1

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Q: Find the equation of the tangent line at the given point on the curve. 3y-x = 8, (16,2) %3D

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A: Take the derivative and put the given point.

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Q: find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x2y,   (1,1)

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Q: Kappa Curve: x²y² + y* = 2x² %3D

A: We are asked to find the slope of the tangent line at the given point

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Q: #8.) Determine the slope of the tangent at point (1,4) on the graph of f(x) = (9-x²) ²/

A: Topic = Derivative As per guidelines , At a time only one question can be answered. Please repost…

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Q: Find the equation of the tangent line to the curve y = x + 2xi through the point ( 8, 12 ).

A: