The tangent line to y=f(x) at (1,-3) passes through the point (3,9). Compute the following: f(1)=? f'(1)=?

Q: 4. Find the point(s) on the curve of y=,x+x+2for which the slope of the tangent line is zero. (5)

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Q: Find the equation of the tangent line at the given value of x on the curve. 2y (x- 3) + xvy = 3; x=3…

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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…

Q: Section 2.4 Chain Rule Please show & explain all work, thank you.

A: Multiply both sides by x^2.

Q: Find the equation of the tangent line to the graph of f(x) = 2x² –In Vx at X = 1. %3D

A: First we differentiate to find the slope then use formula to find the equation

Q: Find an equation of the tangent line to the curve atthe given point.   y =  Sin (2 In x) , (1 ,0)

A: Given curve,  y = sin(2 ln(x))  We have to find the tangent line to the curve at the point (1, 0)

Q: Find the tangent line to y = x -x+7 at x = 7. ,2 The tangent line to y = Vx -x + 7 at x = 7 is y =

A: We have to find tangent line

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: 2. Find the equation of the tangent line to the curve y = In(x'-7) at (2,0).

A: Given :          y=lnx3-7

Q: find an equation of the tangent line at the point specified. y = x3 + cos x, x = 0

A: Explanation: Given that,  y=x3+cosxand x=0   Calculation: Find the y-coordinate if x=0 Put x=0 into…

Q: Find the equation of the tangent line to f(x) =1 – x² at (1,0). -

A: here we use formula  y-y1=m(x-x1) at point (1,0)

Q: Find an equation of the tangent line to the curve at thegiven point  y = ln ( x 2- 3x + 1 )       ,…

A: Given,y = ln (x2-3x+1)slope of tangent line is equal to the first derivative of curve at given point

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.

Q: Find the slope of the tangent line to the curve defined by 4x + xy – y* 1760 at the point (8, –4). e…

A: To find the slope of the tangent line to the given curve at the given point

Q: Find the equation of the tangent plane to z = In(x²y) – x/ỹ at (-,4).

A:

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

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Q: The tangent line to y = f(x) at (0, –8) passes through the point (7, 4). Compute the following. a.)…

A: Given: y = f(x) at (0,-8) Passes Point ( 7,4)

Q: Find the point of intersection of the tangent line to y=sin 2x) at y=0 and the line x+2y=5-

A: Given: y=sin(2x)  and y=0       substituting y=0 in y=sin(2x)then    0=sin(2x)         2x=0…

Q: Find the slope of the tangent line to the curve y3 + yx2 + x2 − 3y2 = 0 at the point P(0, 3) by…

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Q: Estimate the slope of the tangent line to y=x^2 at the point (1,1). Verify your answer analytically.…

A: Since multiple questions are asked, we will solve the question that the graph attached is related…

Q: The slope of the tangent line to f(x) = cos(x) · sin(x) at x - 2т is

A:

Q: Find the equation of the tangent line and normal line to the curve: 2. x2 + 2xy = y3 at the point…

A: Firstly, we find  dy/dx by differentiating both sides with respect to x

Q: The slope of the tangent line to the curve x^3 + y^3 = 6xy at the point (3,3) is

A:

Q: Find an equation of the tangent line to ln(2x-y+1) + cos(xy-2)=1 at the point (1,2)

A: Given:

Q: Find the equation of the tangent line to the curve y = Vx – 3 at the point (4, 1). - o y = }x - 3 2…

A: Explanation of the answer is as follows

Q: Find an equation of the tangent line to the curve at thegiven point.

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Q: Find the point where the tangent line to y = x² at x 0.7 crosses the x-axis.

A:

Q: Find the equation of the tangent line on the curve defined by 2xy- y² =1 at x = 1. A y=x-1 B y=1 ©…

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Q: Find the slope of the tangent line to the curve cos(3x−3y)−xe−x=−7π2e−7π/2 at the point (7π/2,3π).

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Q: Find an equation of the tangent line at the point specified. y = x3 + cos x, x = 0

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Q: Find the slope of the tangent line to f(x)=(8x-6)cos(x) at x=0.

A: The given function is: fx=8x-6cosx To find the slope of the tangent line at x=0.

Q: 3. Find the equation of tangent line of the function f (x) = e" /x at the point æ 1. Write in the…

A: Given,  The function   fx = exx   We have to find the equation of the tangent line at the point x =…

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

A: We have to find the equation of the tangent line of the given function at the given point   The…

Q: Find the equation of the tangent line of f (x)= x² In x at x=1.

A:

Q: Find the slope of the tangent line to the curve x + xy – y = 23 at the point ( – 3, – 2). -

A: The given function is x2+xy-y3=23 The point is x0,y0=-3,-2

Q: Find the slope of the tangent line to the curve 2 sin(z) +4cos(y) –- 3 sin(z) cos(y) + z = 7x at the…

A: The objective is to find the slope of tangent line to the curve at the point (7π, 3π/2).

Q: The slope of the tangent line to the curve In(zy) = y² – 1 at the point (1, 1) is m =

A:

Q: what is the equation of the tangent line to the graoh of y = vx – 1 at (5,10)

A: y = √(x - 1)                      (Given) y = (x - 1)1/2 Now, y' = 1/2 (x - 1)-1/2 (x - 1)' y' = 1/2…

Q: The slope of the tangent line to the graph ofr-y In(ry) at the point (1, 1) is

A:

Q: 2/ Find the equation of the tangent line at (0,0) to fex) = xex хе 2 -X

A: Given f(x)=xe-x2y=xe-x2Differentiate…

Q: The slope of the tangent line to √x+y+√√xy = 2y at the point (2,2) is:

A:

Q: Find the equation of the tangent line to the curve 2y³ – xy² + cos (xy) = 3 at the point ( 0,1) .

A: Given curve is:  2y3-xy2+cos(xy) = 3 For slope of the tangent, differentiate the curve equation

Q: Find the equation of the tangent line at the point (1,0) to the curve implicitly defined by In(x +…

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Q: Find the point where the tangent line to y = 5x at x = 0.5 crosses the x-axis.

A:

Q: The slope of the tangent line to the graph of xy = In(x² + y²) at the point (1, 0) is

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: Find the equation of the tangent line to the curve f(x) = x³ln (x + 1) at the point (0, 0).

A: The given curve is: f(x)=x3 ln(x+1)

Q: 3. Find the equation of the tangent line to f(x) = 2x · sin (x) at the point (5, ).

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Q: Find a formula for the tangent line for y = sin(x) cos(x) at x = 4 -

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Q: The slope of the tangent line to the curve 2xy + T cos y = 2n at point (1,“) is:

A: The given equation is 2xy+π cos y=2π and the point is 1, π2. Evaluate the slope  y' using implicit…

Q: The slope of the tangent line to the graph of xy = In(x² + y² ) at the point (1,0) is :Select one…

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