Find the indicated quantities for f(x) = 2x. (A) The slope of the secant line through the points (2,f(2)) and (2 + h,f(2 + h)), h 0 (B) The slope of the graph at (2,f(2)) (C) The equation of the tangent line at (2,f(2)) (A) The slope of the secant line through the points (2,f(2)) and (2 + h,f(2 + h)), h#0, is (B) The slope of the graph at (2,f(2)) is (Type an integer or a simplified fraction.) (C) The equation of the tangent line at (2,f(2)) is y =

Q: 19. Does the line that is tangent to the curve y = x3 at the point (1, 1) intersect the curve at any…

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Q: 10. Find the equation of tangent line to the graph of f(x) = 2x – x³, at the point(-1, –1). %3D

A: Find your answer below

Q: 5. Find the equation of the tangent line to the curve of the function Y= 2x-x +2 at the point (1,3).

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A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

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A: To find the slope of the tangent line to the below curve the point (-6,4)

Q: 2. Find the slope of the tangent line to the curve y = 4x² – 2 at x= 1. What is the equation of the…

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Q: Find the slope of the tangent line to the graph of xy^2 + x^2 + y^2 = 9 at the point (0,3)

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Q: 3. What is the equation of the tangent line to the curve x3 + x² = y which is parallel to the line…

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Q: 2. Find the equation of the tangent line to the curve y = x2 - 2x -3 that is parallel to the line x…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

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Q: the tangent line to the graph (x^2 + 4)y = 8 at the point (2, 1).

A: Use formula of  equation of tangent  line

Q: Find an equation of the tangent line to the graph at the given point .

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Q: (-8.-) Find the equation of the tangent line to the graph of f(x) =- at The equation of the tangent…

A: Given function and point is  f(x)=4x at  (x1,y1)=-8,-12

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Q: Find the slope of the tangent line drawn to the graph of 2x2−xy−y3=5 at the point (2,1). Enter exact…

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Q: _1. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? a. -5 b. -6…

A: Using Derivatives & Application of derivatives

Q: 4 at the point ( 6, The slope of the tangent line to the curve y is: 3 |

A: The  Slope of the tangent line is = -(1/9)

Q: Obtain the tangent line of the function y= 2x^2 + 3x + 2 at the point (1,7

A: Given: - The function is, y=2x2+3x+2 at the point (1,7) To find: - The equation of the tangent line…

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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: 7. Use implicit differentiation to find the slope of the tangent line to the curve 3(28x + y)/2 = 5y…

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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

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Q: x2/3 - y2/3 -y=1 ;(1, -1)

A: firstly we find the slope(m) by differentiate w.r.t. x  and then put the slope in equation of tanget…

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

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A: First we want to check whether the given point is in the domain of the given function.

Q: 8. Find the equation of the horizontal tangent line to the curve y = -x + yx.

A: For horizontal  tangent line put the derivative  of function equals to zero

Q: 1 Find an equation of the line tangent to y at point (0, -). X-3

A: Given y=1x-3 at point 0,-13 To find equation of line tangent:

Q: The equation of the tangent line to the curve: y + 5 = 2x at x = 5.

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Q: 4. Find an equation of the tangent line to the curve x – 1 | at the point (3, 2). ||

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

Q: 12. (a) Use the definition of derivative to find the slope of the tangent line to the curve f(x) =…

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Q: 1. Use implicit differentiation to find the slope and equation of the tangent line given f(x) = x³…

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Q: 6. Determine the equation of the line tangent to y = x+ tan r at the point (7, 7).

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Q: Find the equation of the tangent line to the graph of the function at the indicated coordinates. 1.…

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Q: Find the slope and equation of the tangent line to the curve y = x3 + 2x + 1 at ( 2,4)

A: Our Aim is to find the slope and equation of the tangent line to the curvey=x3+2x+1 at (2,4) -(i)

Q: 3 - at the point (3, 1) is: The slope of the tangent line to the curve y The equation of this…

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Q: Find the slope of the tangent line to the curve defined by 6x5 + 8xy +y2 = -13 at (-1,1). The slope…

A: The slope of tangent line to the curve f(x,y)=0 at (a,b) is the value of dy/dx at (a,b)

Q: Find the equation of the tangent line to the implicit curve (x^2) + xy − (y^2) = 1 at the point (2,…

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Q: ind an equation of the tangent line to the curve at the point (3, 4).  y=(x-1/x-2)+2

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Q: 4. Find the equation of the tangent line to the function y = In (x² – 2) when x=3.

A: Question is solved.

Q: Find the equation of the tangent line to the curve at the given point. y = 3x − 2x^1/2   (1, 1)

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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,…