graph y=x2-2x+2 and the tangent to the curve at the point whose coordinate is 1.

Q: Find an equation of the line tangent to the graph of f(x) = - 2x at (2,- 16).

A:

Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y =…

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Q: Write the equation of the tangent line to the graph of y= 8x^4-7x-1/3-x^2 at x=1 check the…

A: First we find out first derivative at x=1 which is slope of tangent line.then we use equation of the…

Q: Write the equation of the line tangent to the graph of (x) at x=-1. f(x)=2x2+7x

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Q: Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

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Q: What is the smallest possible slope for a tangent to the graph of the equation y = x – 12x + 14x?…

A: Our Aim is to find the smallest possible slope for a tangent to the graphof the equation…

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 64x2 +…

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Q: Graph the equation and its tangent. Graph y = 4x and the tangent to the curve at the point whose…

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Q: Write the equation of the line tangent to the graph of y = x3 at the point where x = -1.

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Q: Find an equation for the line perpendicular to the tangent to the curve y = x°- 16x + 6 at the point…

A: Given: y=x3-16x+6, 4,6 we know that equation of line which perpendicular to tangent at given point…

Q: Find an equation of the tangent line to the graph of y=-8x/x^2+1 at the origin and at the point…

A: To find the slope of the tangent we find dy/dx We will use the quotient rule

Q: Find the coordinates of the points on the curve y = x³ - 6x² + 14x – 12 at which the tangents have a…

A: We will differentiate with respect to x and equate the same to 5 and find the points.

Q: Find the equation of the tangent to the curve  y = -5x2 + 6x +7 at the point (1/2 , 35/4)

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Q: Find an equation of the line tangent to thegraph of ƒ(x) = x3 + 4x at (1, 5).

A: Given: The graph is expressed as fx=x3+4x To Find : Equation of line tangent to 1,5  The equation of…

Q: The slope of the curve defined by the equation y-x + x =-2 at the point (-1,0) is %D

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Write the equation of the line tangent to the graph of the function at the indicated point.  y =…

A: Given

Q: Determine an equation of the line tangent to the graph at the point (3,8)

A: We find f'(x) using the quotient rule. And plug x=3 in it to find f'(3)

Q: Write the equation of the tangent line to the graph of y = x2 at the point where x = 2.5.

A: To find the tangent line to a function at a given point first find the first derivative of the…

Q: Find the equation of the tangent line to the graph of f(x)=-3x2-5 at the point (2,-17). Write your…

A: Given function    f(x) = -3x2-5Differentiating ,  f'(x) = ddx(-3x2-5)…

Q: Find an equation of the tangent line to the parabola y − x2 - 8x + 9 at the point (3, -6).

A: The derivative of a curve at a point gives the slope of the tangent to the curve. It can be…

Q: Graph the equation and its tangent. Graph y = x2 + 2x - 2 and the tangent to the curve at the point…

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Q: Find an equation of the line tangent to the curve y = x²e*-3 at x = 3.

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Q: Find an equation of the tangent line to the graph at the given point. (x +2) + (y- 3) = 37, (-3,-3)

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Q: Find an equation for a line that is tangent to the graph of y = ex andgoes through the origin.

A: To find the equation of a line that is tangent to the graph of y=ex and passing through origin.…

Q: Find an equation of the line which is tangent to the circle r +y - dr + by – 12 = 0 at the point (5,…

A:

Q: Find an equation of the line tangent to the graph of f(x) = 1-7x at (-5,- 174).

A: The given function is:fx=1-7x2The coordinate is -5, -174To find equation of tangent line

Q: Graph the equation and its tangent. Graph y = -3x2 and the tangent to the curve at the point whose…

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Q: Write the equation of the line tangent to the graph of the function at the indicated point.…

A: To find the equation of the line tangent to the graph of the function y=x2-5x+55x0,y0=4,1

Q: Find an equation of the tangent line to the parabola y=x2  -8x+9 at the point (3, -6)

A: Given :          y= x2-8x+9

Q: Determine the equation of the tangent to the graph of y- x - 3x + x+3 at the point (- 1, -2). O a)…

A: We have to find the tangent of the given function at point (-1,-2).

Q: Find the slope of the curve at the point where 0 = 4

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Q: Find the equation of the circle, in general form, that is tangent to the line X=−6 andX=10, and…

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Q: 2x at x =1 y = Зх-1

A: Find dydx as follows. y=2x23x-1dydx=22x3x-1-3x23x-12dydx=23x2-2x3x-12 Find dydx at x=1 as follows.…

Q: Find the equation of a line tangent to a circle whose equation is x2 + y2 – 4x - 21 = 0 at point…

A: Let's.

Q: Write the equation of the line tangent to the graph of the function at the indicated point.  y =…

A: Given

Q: Determine the equation of the line tangent to the graph of y when x = 9. 2 + VI

A:

Q: Find the equation of the line tangent to the graph of y = 4x'-9x-7 at the point (1,8).

A: Method to find tangent at a point of any curve.

Q: Determine the equation of the tangent to the graph of y = x³ - 3x² + x+ 3 at the point x = -1

A:

Q: Find the equation of the line tangent to the parabola y = x^2 -1 at the point (-2,3).

A: Given the parabola :

Q: Find an equation of a line that is tangent to the graph of f(x) = x³ -3 and Perpendicular to the…

A:

Q: Determine the slope-intercept equation of the line tangent to the graph of y = 4x^2 - 7x + 1 at x =…

A: y=4x2-7x+1 We need to Determine the slope-intercept equation of the line tangent to the graph of the…

Q: Find the equation of the family of curves whose slope at any point (x, y) is 2. y 4. equal to the…

A: We need to find the family of curves. NOTE - As per our guidelines we can not solve multiple…

Q: Determine an equation of the line tangent to the graph o

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Q: Two is the slope of the curve y = 4x + x2 at what point?

A: Slope of a curve is given by m=dydx  Use this formula to solve above question.

Q: What is the equation of the tangent line to the curve y=−5x^2+4x+7 at x=-1? Write the answer in…

A: