Find the equations of the tangent lines to the graph of the equation below that are parallel to the line given. f(x) = (x + 1)/(x – 1) 2y + x = 6

Q: Find the derivative using the following information.

A: Equation of tangent to curve g(x) at x=2 is y=-3x+2. Its slope is m=-3. Since slope of tangent to…

Q: find the equation of the tangent line at x=-6 for f(x)=x^3/2. write the answer in the form y=mx+b

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Q: 21. Find an equation of the tangent line to the graph of f(x) = x² - 2x at (a) (–2, 8); (b) (1, –1);…

A: fx=x2-2x

Q: 4) Find the equation, in slope-intercept form, of the tangent line to the graph of : y = Vx2 + 11 at…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Find the equations of the tangent lines to the graph of the equation below that are parallel to the…

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Q: Determine the value(s) of x where the tangent to g(x) = (x + 5)(x2 - 1) is parallel to y = -7x - 8

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Q: Find h'(-2) if h = f • g, f(x) = -6x2 – 4 and the equation of the tangent line of g at -2 is y = -9x…

A: Slope of y=-9x+6 is = -9 This line is tangent to g at x=-2  So we get: g'(-2)= -9   The tangent line…

Q: Find an equation of the tangent line at x = a. y = x2 - 4; a = -3

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Q: Find the x-coordinate(s) of the point(s) at which the graph of g(x)=(2x-1)(x^2 +3) has a tangent…

A: Solution:- Step-by-step solution of the above question is given below. The given graph is…

Q: 52. Find an equation of the tangent line to the graph of y = 4x/(1 + x²) at (a) (0,0); (b) (–1, –2).

A: Given- y=4x1+x2 To find- The equation of the tangent at the point a 0,0 and b=-1,-2. Identity Used-…

Q: (a) If F(x) = 6x/(2 + x2), find F '(2) and use it to find an equation of the tangent line to the…

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Q: The product of all the values of x for which the tangent lines to the graph of y= are parallel to…

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Q: Find an equation of the line tangent to the given curve at a. y = x3 – 4x2 + 2x – 1; a = 2

A: Slope m of the tangent will be given by dydx Therefore, dydx=ddxx3-4x2+2x-1 ⇒dydx=3x2-8x+x…

Q: find the equation of the line tangent to the curve at the given point x2y2=4y ;(2,1)

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Q: Find equations for the tangent lines to the graph at the given points 3xy + x2 = 4, (1, 1) and (4,…

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Q: 1. For the function f(x) = 2x2 +7x-3, %3D (a). Find the slope of the tangent line at c = 4. (b).…

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Q: If f(x) = 3x² – 7x + 2, find f'(1). 3x – 7x + 2 at the point (1, – 2). Use this to find the equation…

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Q: The equation of the tangent line to the curve at the given point. x2 v2 2-13 = (1, 1) is %3D 100 4…

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Q: If g(x) = 2 − x3, find g'(0) and use it to find an equation of the tangent line to the curve y = 2 −…

A: g(x)=2-x3differentiate w.r.t xg'(x)=-3x2Put x=0g'(0)=-3(0)2 g'(0)=0at x=0g(0)=2-02⇒y=2.equation of…

Q: Find all values of x at which the tangent lines to the graph of x4 - 2x2 + 15 4 y = are…

A: y = x44 - 2x² +15>   To find All Values of x where tangent lines to given Curve perpendicular…

Q: 3. Find the equation of the tangent line to the graph of x y + 7xy = 30 at the point (-5, 2). %3|

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Q: Find the equation of the line tangent to the graph of x3 + y3 = -5xy + 7 at (1,1).  The equation of…

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Q: Find h'(-2) if h =fog, f(x) = 6x² - 1 and the equation of the tangent line of g at -2 is y = -2x +…

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Q: If g(x) =x4-2 find g'(1) and use it to find an equation of the tangent line to the curve y= x4-2  at…

A: Derivative: g(x)=x4-2 The eq of the tangent at (x1,y1) is y-y1=dgdx(x1,y1)(x-x1)

Q: (a) If G(x) = x2 - 5x + 5, find G'(a) and use it to find equations of the tangent lines to the curve…

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Q: The equation of the tangent to the curve f(x)=x3−6 which is parallel to −2y+54x−3=0 is...

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Q: Consider the given function and point. f(x)= -7x^4+11x^2-4, (1,0) A. Find an equation of the…

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Q: If g(x) = 6 − x3, find g'(0) and use it to find an equation of the tangent line to the curve y = 6 −…

A: Given,

Q: The tangent to the curve x2 – xy + 2y² – 4x + 2y + 2 = 0 that is parallel to the line x- 4y = 2. The…

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Q: If G(x) = 4x² – x³ find G' (a) and use it to find equations of the tangent lines to the curve y =…

A: Given, y = 4x2 - x3 Differentiating y with respect to x  we will get slope of tangent to the curve…

Q: Find an equation of the tangent line to the graph of the equation at the given point: f(x) = 3x2 +…

A: Tangent line  -  slope of tangent line will be equal to differentiation at that point.

Q: Find the equation of the tangent line to the graph of the function f(x) = (22 +6) (z – 3) at the…

A: Fund the equation of the tangent line.

Q: 2. (A) Find the equation of the tangent line tof (x) = x4 – 98x² + 82 at x = -1. (B) Find the…

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Q: 9. Find the points on the graph y = х-2 7x - where the slope of the tangent line is parallel to 28х…

A: Given-  Consider the graph y=7xx-2. To Find- The points on the above graph , where the slope of the…

Q: Find the equation of the tangent line to the graph of function at the given point. Y = 5+ 1n(1-4x) ;…

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Q: Solve the following problems. Show the complete solution. 3. What is the equation of the tangent…

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Q: Find the values of x at which the graph of f (x) = 4x² – 3x + 2 has a tangent line parallel to the…

A: Note : As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Find the equation of a tangent line to the graph of the function g(x)=2x−x2g(x)=2x−x2 that is…

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Q: 11. Find all points (c, f(c)) 9. on the graph of f(z)= x³ – 3x² where the tangent line has slope

A: Given,       f(x) = x3 - 3x2       slope = 9

Q: 20. Find the equation of the curve for which y" =x, and which passes through the point (1, 2) and…

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Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

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Q: 2. Find the equation of the tangent line to the graph of f(x) = 3x?e-1 - 1, at r = 1.

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Q: 2x +1 Determine the equation of the line tangent to the graph of at the point (1, 1). x + 2

A: To find the equation of the tangent line to the graph y=2x+1x+2 at 1,1

Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s)…

A: We have to find

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: f(x)  =  6x - x2                        f'(x)  =  6 - 2x slope of the lines…

Q: h(x) * |4x + 1 %3D a) Find the equation of the line tangent to the graph of fx) at x = 2.

A: 8). Given function is hx=4x+1. To find: (a). The equation of the line tangent to the graph of fx at…

Q: Find an equation of the tangent line to the graph of the function h(x) = −xe2−x, at the given point…

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: 3. Find the equation of the tangent line to the graph of x²y + 9xy= 162 at the point (-3, 6).

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