Find the equation of the tangent line to the curve y = x2 at the point (-2, 4). Sketch the graph of y = x2 and sketch the tangent line at (-2, 4).

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

A: Given, y2ex2-16-xy-1=2Point=4, 2

Q: Find the equation of the tangent line to the graph of y?- x+1=0, at the point (2,-1). %3D

A: Here we havw to find the equation of the tangent line to the graph y2-x+1=0 at the point (2, -1)

Q: Find the equation of the tangent line to the curve at the given point. y = 5x – 2x, (1, 3) y =

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Q: Find the equation of the tangent line to the curve at the point (-1,-3) x³y² = - 2xy-3

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

A: Given, y=4x-3x2Point=2, -4

Q: Please Find an equation of the tangent line to the curve y=5^x at the point (2,25) . Tangent line:…

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Q: Find the slope of the tangent line to the curve - 2x2 + læy+ 3y = - 83 at the point (- 2, – 3).

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Q: Find the slope of the tangent line to the curve - 3æ² ³ = - 199 3x? + lœy+ 3y at the point (1, – 4).

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Q: Find the equation of a curve whose tangent line has slope 2x – 5 and the curve passes through the…

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Q: Find the slope-intercept form of the equation of the tangent line to the curve defined by x-2 3…

A: Equation of tangent line at the point (a,b) of the curve y=f(x) is f(x)-f(a)=f'(a)x-a

Q: Is there a formula to do this? What is the process?

A: Given curve is: First, find the slope of tangent line:

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

A: the given function is y=2-x. so to find the tangent at a specified point given (-1 , 2 ). it is…

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

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Q: . Find the slope and equation of the tangent line to the graph of the equation at a given point. 1.…

A: Topic:- derivatives

Q: Find the slope of the tangent line to the curve y = 5x at the point (-4, 22).

A: Given curve is y=5x2 and the point (-4,22) find the slope of the tangent line Here we use the…

Q: Write the equation of the tangent line to the curve = 2 at the point (1,1). .3

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Q: Find an equation of the tangent line to the curve y = 9^x at the point (2,81)

A: Given the curve is y=9^x at the point (2,81).

Q: Find an equation of the tangent line to the curve at the given point. y = 9e* + x, (0, 9) y =

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 – x2 + 4, (2,16) y =

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Q: Find an equation of the tangent line to the curve at the given point. x + 5 y = X - 4 -* (3, -8) y =

A: Solution: The objective is to find an equation of the tangent

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: Determine an equation of the line tangent to the curve Y = 5x-4 at the point with x- coordinate 4.

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Q: Find the slope of the tangent line to the curve -x^2+2xy+2y^3=-10 at the point (-4,-1).

A: Slope of tangent line = dy/dx at the point (-4,-1)

Q: Find an equation of the tangent line to the curve xe + ye = 3 at the point (0, 3)

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Q: where x = 6.

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Q: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y = 8, (-2, 1)

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Q: Find the slope of the tangent line to the graph y = x' - 3x +x at the point (2,–2). Hence, find the…

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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: Find an equation of the tangent line to the curve at the given point. y = x + (5, 6) y =

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Q: Find an equation for the tangent line to the curve n = 4- 2 at (-1,3).

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Q: Find the equation in terms of x and y of the tangent line to the curve r= 4sin 5θ and θ =π/3.

A: Given: r=4sin5θ  and θ=π3

Q: Find the equation of the tangent to the curve y=x²-x -2 at the point (1, -2).

A: We have to find the equation of the tangent to the curve y=x2-x-2 at the point (1,-2).

Q: Find an equation of the line tangent to the curve at the point (4, 0.4). 2Vx ソミ x+6 Equation:

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Q: Find an equation of the tangent line to the curve x^(2/3)+y^(2/3)=13 at the point (−27,−8).

A: Given:

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 at the point (1,-3) x^2 +2xy-4y^3=103

A: Given :-  curve x2+2xy-4y3=103  To find :-  Equation of tangent line passing through (1,-3) to Given…

Q: Find the slope of the tangent line to the curve - 322 + 2xy – 3y° - 88 at the point (– 4, 2).

A: The given curve -3x2+2xy-3y3=-88 at the point (-4,2)

Q: Find the equation of the tangent to the curve y=x2-x-2 at the point (1,-2)

A: Given equation of curve is y=x2-x-2. To find the equation of the tangent line to the given curve at…

Q: Find an equation of the tangent line to the curve at the given point. y = 2x2 - 6x + 1, (4, 9) y =

A: First find slope at given value then equation of tangent line

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: Find an equation of the tangent line to the curve xe + ye* = 2 at the point (0, 2).

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Q: Find an equation of the tangent line to the graph of the equation x + y – ex - Y = 5 at the point…

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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: 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 an equation of the tangent line to the curve at the given point. y = 3x2 – x³, (1, 2) y =

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Q: Find an equation of the tangent line to the curve at the given point. у %3 бех + х, (0, 6)

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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: 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 the tangent line at (-1,3) to the curve y-2x'y-27 0.

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Q: Find the slope and equation of the tangent line to the curve y = x2 – 4x + 5 at (2,-3)

A: Given curve is : y = x2-4x+5 We have to find slope and equation of tangent line to given curve at…