Find the derivative of the following functions/parametric equations: 5. y = 2cotx

Q: . Find an equation of the line tangent to the curve y = 2 + sin(rx) at a = 1.

A: Given curve is y=2+sinπx at x=1 findequation of line tangent to the given curve

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: Use implicit differentiation to find the equation of the tangent line at (1,3) to the ellipse…

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Q: Find the equation of the tangent line to the curve y=2sin(x) at the point (pi/6, 1) in y=mx+b

A: Using equation of tangent formula.

Q: Find the equation of the tangent line to the curve at (0,1). 2x y = e* cos IX Express equation in…

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Q: Find the derivatives of the function defined as follows.

A: The function is:        y=lntan2x Find the derivative of the function.

Q: Find the derivative of the following functions/parametric equations: = x y²+2

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Q: Find the derivative of the following parametric equation. x = 2 sece y = 3tan0 at 0 %3D 6

A: Here we will find derivative of given parmetric equation,

Q: What is the equation of the line tangent to the curve ev + cos(x) = 1 at the point (G, 0)?

A: Given curveey+cosx=1Differentiate given curve with respect to…

Q: Find the equation of the tangent line to the curve at the given point. y: (6, 1)

A: Recall: Point - slope form : y-y1= m x-x1 ; where , 'm' is the slope and x1,y1 are the given…

Q: Find an equation of the tangent line to the astroid at the (3√3, 1).   x2/3 + y2/3 = 4

A: Given an astroid equation find the equation of tangent at a point.

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

A: Please refer the attached image for complete solution.

Q: Find an equation of the tangent line to the curve at the given point. = sec X, (π/3, 2) y

A: The answer posted in the image would have been correct if the student had typed 23x instead of 23x…

Q: Find an equation of the tangent line to the curve y= (1+2x)^10  , (0,1)

A: First find the derivative of the curve at given point than write the slope intercept form of…

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

A: See the attachment

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: In this question we have to find the equation of tangent line.

Q: Plot the astroid x = cos3 θ, y = sin3 θ and find the equation of the tangent line at θ = π/3 .

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Q: Find. an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (3n, 0)

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Q: Find the equation of the line tangent to the curve y = cos(2x) at the point where 3

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Q: Find the equation of the tangent line at the given point on the curve. 2y - Vx = 4. (16,2) y =U

A: We need to find equation of tangent line.

Q: Find the derivative of the following functions/parametric equations. 6. 4 cos x sin y = 1

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Q: Find an equation of the line tangent to the curve y = sin x atx = 0.

A: Solution -  Given equation -  y=sinx At x=0,  y=sin(0)=0 We have - x0, y0 = 0, 0   Equation for the…

Q: Find the second derivative of y with respect to x from the parametric equation given; x =…

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Q: Find the derivative dydx of the cardioid given by the equation r=f(θ)=a(1+cosθ).

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Q: Find an equation of the tangent line at the point indicated. y = Cos x, π/3

A: To find an equation of the tangent line y = cos x, at the point x=π3 At point x=π3, y=cosπ3y=12 The…

Q: Find the derivative of the following functions/parametric equations. 5. x3 + x²y + 4y² = 6

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Q: Find an equation of the tangent line to the curve at the point (0, 1). y = (1 + 3x)10 y =

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Q: Use implicit differentiation to find an equation of the tangent line to the ellipse at the given…

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (2m, 0)

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

Q: Find the derivative of the parametric curve x=2+cost, y=1+sint at the point t=π3.

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Q: Which of the following is the tangent equation drawn from the x =pi/3 point on the y = 2sinx curve?

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Q: Find an equation of the tangent line to the curve at the following point: y = (1+ 4x)", (0, 1) y =

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin r), (3T, 0) y =

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Q: Find the second derivative of the parametric equation = 9t2 + 4 , y=3(t − 2)2

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: y = eVx+cosx

A: To  findderivative of1)y=ex2+cosx

Q: Find an equation of the tangent line to the curve y=sin(3x) + cos(4x)   at the point (pi/6),…

A: Given equation is y=sin(3x) + cos(4x).

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

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Q: Find the equation of the tangent line to the curve y = 8 sin z at the point (, 4). 6

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Q: Determine the Cartesian equation of the tangent line to C1 at the point where θ = π/2 .

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Q: find the equation of the tangent line to the curve at the point corresponding 4o the given value of…

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

Q: Find the equation to the tangent line to the curve y = Vx³ – 2 where x 3 3

A: Please refer the attached image for complete solution.

Q: Find the equation of a tangent line of y = sin(x + π) at the point π/6.

A: We find dy/dx first  Then we plug x=π/6 to find the slope of the tangent.

Q: Find an equation of the tangent line to the y = sec(x) – 6 cos(x), P = 3 y =

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Q: Find the second derivative of y with respect to x from the parametric equations given.

A: The objective is to Find the second derivative of y with respect to x from the parametric equations…

Q: Find the derivatives and then find an equation to the Tangent line at the indicated point. (1) y=…

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Q: Find the equation of the tangent line to the curve y 6x cos x at the point (π, = The equation of…

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Q: What is the equation of the line tangent to the curve ev + cos(x) = 1 at the point (0) ? y = x +;…

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Q: Use implicit differentiation to find an equation of the tangent line to the ellipse      x2/2 + y2/8…

A: Given, x22+y28=1                              ...(1) Point (1, 2)