4. Given the function f(r) = Vr – 2, (a) What can we say about f'(2)? f'(0)? ƒ'(4)? (b) Why are we allowed to say f'(x) = .5(r – 2)(-5), based on your results from part (a)? (c) Find the equation of the line tangent to the curve at r = 6.

Q: 4. Find the equation of the tangent line to the graph of f(x)= 2x² – In Vx at x = 1.

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A: The equation of the  tangent line for the function f(x) at the point x=a is, y-fa=f'ax-a. The…

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Q: 1. Find the equation of the tangent line to x2- 3xy +y2 = -1 at (2,1).

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

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Q: 2. Find the equation of the tangent line to the graph of y = 3cos 4x at x = 3

A: The equation of tangent line can be found by using the formula,y-y1=mx-x1Where, m=dydxx1

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A:

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A: Given that: y2=x3xy+6 at (6, 3)

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Q: 4. Find the slope of the tangent to y = sin² (2x) at x = 12

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Q: he tangent line to y = f(1) at (-3,9) passes through the point (9,-3). Compute the following.

A: The slope of the line passing through the points, (x1,y1) and (x2,y2) is given by .

Q: 3. Find the equation of the tangent line to the curve y = x³ at x=1.

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Q: The slope of the tangent line to the curve tanxy) + y= 2 at x=0 is O a 2 O b.-2 Oc-1 O d. 1

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A: Given:The function g(x) = (x cos(x))/(x+2).Obtain the tangent line for the above function at x = 0.

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Q: 1) Find the slope of the line tangent to the curve y = sin x at the point where x=r/3

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Q: 5. Find the equation of the tangent line for: x = vt + 9, y= at (4,-)

A: The objective is to find the equation of the tangent line.

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Q: 1 Find an equation of the tangent to the curve f(x) = /x + 8 that has slope 4 %3D - OA. 1 y =7x-3 O…

A: Equation of the line in slope-point form is:        m = slope (x1, y1) = point on the line

Q: 3) Find the equation of the tangent line to the curve 6y³ – xy² + cos (xy) = 7 - at the point (…

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A: Solution of this question is

Q: Find equations of the tangent and normal line to the curve y = x cos x at x = t/2.

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Q: Find the points on the graph of y = ex + e-2x where the tangent line is horizontal.

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Q: *4. Find the equation of the tangent line to r² – 3ry + y² = -1 at (2,1).

A: Equation of tangent at a point

Q: What is the equation of the tangent line to the curve y = x2 – 2x + 1 at point (3,4)? a. y = -4x + 8…

A: as per guidelines I can only do first 3 subparts

Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

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Q: 24)) Since the tangent of the curve y = x ^ 5 + ax - 3 at the point x = 1 is y = x -b, then b =?

A: Given that y=x-b is the tangent of the curve y=x5+ax-3 at the point x=1.

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Q: Find the equation of the tangent line at the given value of x on the curve. y+xy² -22=Dx+5y; x= 5

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Q: 4. Find the tangent line to the curve y = In(x + x + 1) with slope 1. (2점)

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Q: Determine the slope of the tangent line to the curve y= In x^2 at x = e^2

A: The given curve is

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT TH INDICATED POINT. 4.…

A: we only solve one problem at a time, please upload it one by one

Q: The equation of the tangent line of f(x) 3 e* at x = 0 is %3D y

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Q: 4. Determine the equation of the tangent line to y = x²sin2x, at x = - R

A: Follow the procedure given below.

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Q: 4. Find the equation of the tangent line to y sin(2r) = r cos(2y) at the point (, ).

A: topic - equation of tangent line to curve

Q: 2. Find the equation of the tangent line to the graph of 3x cos y = 1 + x² + /2y+ 1 at P(1,0).

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Q: find the line tangent to the curve y=cos(x) at the point (π/4, 1/√2)

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Q: 2 at the Find the equation of the tangent line to the graph y 3 (round the slope to one decimal…

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Q: Suppose the line y= 7x - 1 is tangent to the curve y= f(x) when x = -8. If Newton's method is used…

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Q: 6. Find the equation of the tangent line to the curve 2x3 + xy + y° = 4 at the point (1, 1).

A: Firstly we can find slope .i.e, dydx at (1,1). Then slope intercept form  y-y1=m(x-x1)