Implicitly differentiate the equation y? + 4xy +x In 2x = 0. Isolate y' in the resulting equation. Use the result to find the equations of the tangent lines to the graph of this equation at the points (,0) and (;,-2). Convert both tangent line equations to the slope-intercept form y = mx + b.

Q: Find the equation of the tangent line to the curve x' + y' = 6xy at (3,3). Write the equation in…

A: Given the curve x3+y3=6xy We need to find equation of the tangent line to the given curve at (3,3)…

Q: Find the equation of the tangent line at the given point on each curve. :x2 + y2 = 100; (8, -6)

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Q: 2 at the point ( 9, 2 is: The slope of the tangent line to the curve y The equation of this tangent…

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

A: Given, y2ex2-16-xy-1=2Point=4, 2

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 an equation of the tangent line to the curve at the given point. 2 y = x + -, x (2,3)

A: Given,          The curve is y=x+2x and the point is 2,3.

Q: write an equation for the tangent line at the given point x +y = 4, (/2, V2)

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Q: What is the equation of the tangent line to the curve at the point (1, 2) The equation of the curve…

A: The given curve y3-xy2=4 at the point (1,2)

Q: Solve with solution determine the slope of the tangent line to the curve y=3x2 – 2x at the point…

A: Topic = Derivative

Q: Find the equations for the two distinct tangent lines to the curve y= x^2 that pass through the…

A: Consider the given curve: y=x2 Here, the objective is to find the equations for the two distinct…

Q: Find the equation of the tangent line of the given function at point (-1,3). Give answer in the…

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Q: The equation of the tangent line to the curve y at the point (2, 5. written in point-slope form is:

A: find equation of tangent line

Q: Find the equation of the tangent line at the given point on curve. x2y2 = 81,   (-1, 9)

A: Given function is  x2y2 = 81 Equation of tangent line is given by, y-y1=mx-x1

Q: Determine the slope of the tangent line, then find the equation of the tangent line at t = - 1. x =…

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Q: write an equation for the tangent line at the given point x² + y² = 4, (/2,/2)

A: Given: An equation x2+y2=4 and point 2,2 Firstly, find the gradient of x2+y2=4 by the formula…

Q: Find the equation of the curve at every point of which the tangent line has a slope of (1+y^2)/2xy…

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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 the equation of the tangent line to the curve y=(x-2) (x+1)? at point (3, 16).

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Q: Find the equation of the tangent line at the given point on the following curve. x2+y? = 20, (-2,4)…

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Q: Find y′ and the slope of the tangent line to the graph of the equation below at the indicated point.…

A: To find the slope of the tangent to the given function at the indicated point we need to find the…

Q: The curve with equation y²=5x⁴-x² is called a kampyle of Eudoxus.Find the equation of the tangent…

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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: What is the equation of the tangent line to the curve at the point on the curve where x = - 2? (The…

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Q: The slope of the tangent line to the curve  y=3x^3 at the point (-5,-375) is:? The equation of this…

A: Consider the given: y=3x3Differentiate w.r.t. "x"dydx=9x2Find the slope at…

Q: Find the equation of the tangent line to the curve at the given point. y = 4x^2-x^3, (1,3)

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Q: Find an equation of the curve whose tangent line has a slope ofƒ′(x) = x2/3,given that the point (1,…

A: Given: f'x=dydx=x23 For finding equation of curve, we will use variable separable method So,…

Q: Find an equation of the tangent line to the curve at the given point. x + 4 (4, -8) x - 5

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Q: Find the equation of the tangent line to the curve y = (1 + 2x)? at the point (4, 81). y =

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Q: Find the equation of the tangent line at the given point on each curve. x2 + y2 = 25; (-3, 4)

A: Find the equation of the tangent line at the given point on each curve. x2+y2=25  ;   (-3,4)

Q: Write an equation of the tangent line to the curve x2+y2-25=0 at the point (3,4).

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Q: Find the equation of the tangent line to the curve at the given point. Illustrate by graphing the…

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Q: Find an equation of the tangent line to the curve at the given point. y = 4x^2 − x^3, (1, 3)…

A: The curve y = 4x2 – x3, we have to find the equation of the tangent line to the curve at the point…

Q: What is the equation of the tangent line to y=(−5x−8)e^−x at x=0? Write the equation of the tangent…

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Q: Find an equation of the tangent line to the curve at the given point y = 2x3 - x2 + 5, (2, 17) y =

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Q: Find the standard (slope-intercept form) equation of the tangent line to the following equations at…

A: To Determine:  Find the standard (slope-intercept form) equation of the tangent line to the…

Q: Find the slope of the tangent line to the curve defined by 9x³ + 5xy + 2y² = -1744 at the point (–6,…

A: Given Line 9x3 + 5xy + 2y2 = -1744 At point (-6,-5)

Q: Find the equation of the tangent line to the curve y = 4x − 3x 2 at the point (2, -4)

A: The equation of the curve is y = 4x − 3x2 The coordinates of the point of contact is 2, -4

Q: how do you find the equation of the tangent line at the given point on each curve? x2+ y2=25 ,…

A: To determine the equation of the tangent line, the slope of the curve at the given point is to be…

Q: Find an equation of the tangent line to the curve at the given point.y = x4 + 5x2 − x, (1, 5)y=

A: Equation of the curve: y = x4 + 5x2 − xSLope of the curve = dy / dx

Q: The slope of the tangent line to the curve y 2x at the point (- 5, - 250) is: The equation of this…

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Q: Find an equation of the tangent line to the curve at the point (3, 9). X- 1 y = + 7 X - 2 y =

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Q: At what point (x,y) is the tangent line to the curve y=2x2-5x+8 parallel to the line y=3x-7

A: It is given that

Q: Use implicit differentiation to find dy/dx

A: Given expression,

Q: Find the equation of the tangent line to the curve y = x³ – 4x + 3 at the point (3, 18). Tangent…

A: Answer and explanation is given below...

Q: Find the equation of the tangent line to the curve at the given point. In (x² + 2x + 1) ; (-2,0)…

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Q: Find an equation of the tangent line to the curve at the given point y = x3 - 2x + 2, (2,6) y =

A: From the given data:

Q: Find an equation of the tangent line to the curve x2/3 + y2/3 point (1,8). 5 at the

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Q: Find an equation of the tangent line to the curve at the given point. y = x* + 8x2 – x, (1, 8) y =

A: Given: y=x4+8x2-xPoint (1,8)

Q: Find an equation of the tangent line to the curve at the given point. y = 2x³x² + 2, (1, 3) y = 6x²…

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

A: We find dy/dx at (2,4)