Vx-1 Find the slope-intercept equation of the tangent line to the graph of at the point x2+1 (2,1/5).

Q: Find an equation of the tangent line to the graph of y = 6x at the origin and at the point (- 1, -…

A: To find the tangent line to the curve y=6xx2+1 at origin and at (-1,-3).

Q: Find an equation of the tangent line to the graph of the equation at the given point : y = 16 – x² ;…

A: The given equation of the graph is y=16-x2 and the point is (3, 7) . We have to find the tangent…

Q: Find the equation of the tangent line to the graph of y(x) = 12( - ;)' at æ = 2. Equation of the…

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Q: -5x e Find an equation of the tangent line to the graph of y = xe 5X at the point y =

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Q: Find the equation of the tangent line to the graph of ​f(x)=3/x at (9,1/3). The equation of the…

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Q: of (x) 3 at x=2. x+1 Find the slope of the tangent to %3D

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Q: (a) Find an equation of the tangent line to the curve y = (1+x²/3}3/2 at x = -1.

A: Given: y=1+x2332 for finding equation of tangent at given pointx=-1, first we need to find slope of…

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -6 and g'(2) = 4.…

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

A: Use derivative for finding the equation of tangent line.

Q: 3b. Find an equation of the tangent line to f(x)=2x+x-1 at the point Where x 1. %3D

A: The solution of the problem is given in the next step.

Q: Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0 (5 marks…

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Q: 3x+ Find an equation of tangent line to the curve: f(x) = EGL

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: seCr 2x -5 at z -4.1 Find the equation of the line tangent to the graph of f(a) = 4r' + 4x

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Q: Find an equation of the tangent line to the function y 5x at the point P(1, 5). Solution

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Q: Find an equation of the tangent line to the graph of f(x) =2- 5x at (2, – 18). The equation of the…

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: 3. Determine the equation of the tangent to y = x² + 6x + 9 which has a slope of 6. Sketch the graph…

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Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = -4x + 1…

A: We need to find the slope of the tangent line to the function f(x)=-4x+1 at (-1, 5). By using slope…

Q: 1. Find the standard (slope-intercept form) equation of the tangent line to the following functions…

A: Given: fx=3x2-12x+1 at point 0,1

Q: II. Find an equation of the tangent line to the curve of f(x) =-2x' +6x+1 when x 23

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Q: 5x - 8 Find the equation of the tangent line to the graph of f(x) = x +1 at the point at which x =…

A: Equation of tangent line is (y-y1)=m(x-x1)

Q: 2x2 at the point where x = 1. 6. Find the equation of the tangent line to the graph of f(x) = x +1

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Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point…

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation…

Q: Using first principles, determine the equation of the tangent line at point (2,2) on the curve f ( x…

A: Using first principles, determine the equation of the tangent line at point (2,2)on the curve f ( x…

Q: Find an equation of the tangent line to the curve y =√x  at the given point (4,2) Use the…

A: The expression for the equation of the tangent line is: y-y1=mx-x1 Where, 'm' is the slope of the…

Q: find the slope of y=x^2-2x-5 at the point (2,-5) The equation of the tangent line to the curve at…

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Q: x6 +1 -at the point (-1, 1) x4 +1 Find the equation of the tangent line to the graph of

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Q: (a) Find the slope of the curve at point P and write the equation of tangent line at point P. 2x2…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -4 and g'(2) = 5.…

A: Given function is                                              y=g(x), at x=2g(2)=-4 and g'(2)=5 we…

Q: c) Find the equation of the tangent line to the function y = sec²x at the point (2:2).

A: Given function as y=sec2x

Q: etermine the equation of the tangent line to the graph of f(x) = O y = 6 + 6x y=-6x - 6 Oy=6-6x x

A: Topic:- application of derivatives and integration

Q: find an equation of all tangents t the curve f(x) = 36/x that have a slope of -1

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Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

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Q: Find the equation of the tangent line to the curve y = -2 + 3x – x² at x = 1. Graph the curve and…

A: Given function is, y=-2+3x-x2 At x=1.

Q: Find an equation of the tangent line to the graph of f(x)=ex​, where x=3.4.   The equation of the…

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Q: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal…

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line…

Q: f(x)=-3x^4+11x^2 What is the equation of the tangent line at x=-1?

A: Obtain the value of y as follows.

Q: Q3)B/ Find the slope of the tangent line to the graph of x² cos(y) = 2y- eš* at the point (1? %3D 00…

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Q: Find the slope of the tangent line to the graph of the function at the given point. 11 f(x) at(1, )…

A: given fx=118x

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

A: We can find the equation of tangent line as below.

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 of the tangent to the curve y= 3 + 2x - x 2

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Q: 2. Find the equation of the tangent line to the curve f (x) at the x+1 point (2,5). Write equation…

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Q: 5. Find the equation of the tangent line (slope-intercept form) to the 5 at the point (6,1). x-1…

A: To determine the equation of the tangent line.

Q: The equation of the tangent to the curve x2 = 4y at the point on the curve where x = −2

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Q: The equation of the tangent line to the curve y=x² +1 at x = -4

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Q: 8x at the point (1,4). x +1 Find an equation for the tangent to the curve y =

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Q: cosx Find the equation of the tangent to the curve y=- at x= 2x 2

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Q: Find an equation of the tangent line to the graph of the equation x + y - e* - Y = 9 at the point…

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Q: 3) a. Use implicit differentiation to find the slope of the tangent line to the curve defined by y²…

A: (3) Consider y2=x3+3x2. Differentiating both sides of the equation results,…