where x = 6.

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Q: Find the equation of the line tangent to the curve y=x-x^2 (x squared) at x=-4

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Q: Find an equation of the line tangent to y = xinx at the point x = 1.

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Q: Find the equation of the  tangent and normal to the curve y=5x4 at the point (1,5)

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Q: Please Find an equation of the line tangent to the curve defined by x^4+2xy+y^3=4 at the point (1,1)…

A: The given problem is solved below in detail.

Q: Find the equation of the line tangent to the curve y = ex/x at x=1

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Q: find the slope of the tangent to the curve y^2+X^3+4=0 at (-2,2)

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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 equation of the tangent line to the curve y=5x³-1 at x= -1.

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Q: Find the slope of the tangent line to the curve - 2.x? + 3xy + y – 118 - at the point (3, – 4).

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Q: On the same axes, plot the curve y = 1x, the line y = x/8, and the tangent line to y = 1x that is…

A: Given curve is y=x. Let x,y be any point on the curve. Differentiate function with respect to x.…

Q: Write the equation of the tangent line to the graph of y = x2 at the point where x = 2.5.

A: To find the tangent line to a function at a given point first find the first derivative of the…

Q: Find the equation of the tangent to the curve r = θ when θ = π/2

A: Given problem:- Find the equation of the tangent to the curve r = θ when θ = π/2

Q: Find the slope and the equation of the tangent line to the curve and explain briefly.  y = 2x^2 –…

A: The slope of the curve at any point  x1,y1 can be calculated by using the formula m=dydxx1,y1 ,…

Q: Determine the slope of the line tangent to y = x+1 at x = 1 3x2

A: y = (x+1)/3x2 slope = dy/dx dy/dx = (3x2(1) - 6x(x+1))/9x4 slope at x=1 dy/dx = (3 - 6(2))/9 dy/dx =…

Q: Determine the equation of the tangent to the curve y = x+2 x = -1.

A: Here we have to determine the equation of the tangent line to the curve y=x3-1x+22 at the point…

Q: Find the slope of the tangent line to the curve - 4x – 3ry + 4y° = = 14 at the point (- 3, 2).

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

A: Given:f(x)=2x & point (-5, -25)To determine:Equation of tangent line to the graph of given…

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: The equation of the tangent line to the curve 교+f -25, at (8,-12) is

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Q: Find the slope of the tangent line to the curve - l2? – 2æy – 2y³ = 19 at the point (3, - 2).

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Q: Find an equation for the line that is tangent to the curve y = 3x-3x at the point (1,0).

A: y = 3x3 - 3x P= ( x1 , y1 ) = ( 1,0 )

Q: Find the equation of the tangent line to

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Q: Help to find the equation of the line tangent to the curve y = 6 / x when x = 3.

A: Given curve is y=6x When x=3 then y=63=2 So, point is (3,2) Equation of tangent line at any point…

Q: FIND THE EQUATION OF THE LINE TANGENT TO f(x)

A: Our objective is to find the equation of tangent line at a given point.

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: Determine the equation of the line tangent to the graph given by y = at the point x +1 (4, }).

A: To find the equation of the line tangent to the graph y=xx+1 at the point 4,25

Q: Find the equation of the line tangent to y = x2 - 1 going through x = 1

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Q: Determine the equation of the line tangent to the curve   at the point (-1,1) and reestablish a…

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Q: Find the slope of the tangent to the curve y = 25* at the point (1, 32).

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Q: Find the equation for the line tangent to the curve 2exy = x + y

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Q: Find the equation of the tangent to the curve y = (x−2)(√x2 + 16) at x = 3.

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Q: At what point on the curve x = 9t2 + 7, y = - 5 does the tangent line have slope ?

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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 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 for the tangent to the curve 2 y = x +

A: We have to find the equation of tangent line to the curve y=x+1/x . Please see the explanation below

Q: Find the slope of a line tangent to the curve y = 15x- 5x at x = 1

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Q: Determine the equation(s) of the tangent line(s) to the graph of r3y-xy, 6 when x--1

A: The point on the graph x3y=xy2+6 when x=-1 is given by plugging the value in the equation,Hence, the…

Q: Find the equation of the tangent to the curve y = (x−2)√(x2 + 16) at x = 3.

A: To find the equation of tangent line to the given curve at x = 3.

Q: Write the equation of the tangent line to the graph of y = x at the point x = - 0.7.

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Q: Determine the equation of the line tangent to y = /1+x³ at the point (2, 3).

A: The given function is y=1+x3. Its derivative is obtained as, dydx=ddx1+x3=121+x3ddx1+x3=3x221+x3 at…

Q: What is the slope of the tangent to the curve x-y² -x = - 4'at (1,2)

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Q: Find an equation of the tangent line to the curve defined by y=2x2-5x+8 when x=2.

A: Given:

Q: Determine the equation of the tangent line to the graph of y = y2 – x² at the points (분 ) and (블, )

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Q: write the equation of the tangent line to the curve y=x^3+x at the pints where the slope is 4.

A: In this question we have the curve and slope 4 . We have to find the equation of tangent when slope…

Q: What is the slope of the line tangent to the curve  y=7cosx when x=π/4?

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Q: Determine the equation of the line tangent to the graph of y 5 when x = 9. 2+ Va

A: Given Data The equation is y=52+x. The value of x is x9=9.   Differentiate the equation y=52+x with…