Get the derivative first. Then find the equation off tangent line and normal line to the curve at the given point. y= x/a + a/x ; (a/2 , 5/2)

Q: Find the derivative of the function  y= Cot2(Sin θ )

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Q: Find the equation of the tangent and normal line to the curve y=x2 at x=1

A: Tangent is a line to the curve that just touches the curve at a particular point. Normal is a line…

Q: Calculate the derivative of the following functions.

A: y=tane3x

Q: Calculate the derivative with respect to x of the other variable appearing in the equation. √(x+s) =…

A: Given equation is x+s=1x+1s Using the implicit differentiation with respect to x: dx+sdx=d1x+1sdx…

Q: find the derivative of y with respect to the givenindependent variable. y = t1-e

A: In this equation the independent variable is t So we will differentiate with respect to t

Q: Find the slope of the tangent line to the curve y =1+x+x´at the point x = a.

A: The curve is y=1+x+x2. Differentiate the function: dydx=1+2x

Q: Find the equation of the tangent line to the curve y = (2 + x)e¬* at the point (0,2)

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Q: Find the indicated derivative. Then find an equation of the tangent line at the indicated point on…

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Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by 3xy + xy:…

A: Given function3xy3+xy=26differentiate wih respective…

Q: Y = ( ***)3 x+1 at x = 3 x-1

A: the equation of the given curve is: y=x+1x-13 the given point is x=3 we have to find the equation of…

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 curve at the given point. y = x + sin(x), (1, n)

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Q: find an equation for the tangent line and the normal line to the curve y = x sqrt x^2+1 for the…

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Q: Find the equation of the tangent line at the given value of x on the curve. y + xy? - 5 =x+3y; x= 3…

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Q: Find the derivative of y with respect to x in the following equation.

A: Using chain rule of differentiation

Q: Find equations of the tangent line and normal line to the curve at the given point. (1, 0.25) y=…

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Q: Find an equation of the tangent line to the given curve at the specified point. x² – 1 y = x² + x +…

A: We are going to find the tangent line equation to the given curve at the point (1,0) using an…

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 the equation of the tangent line to the curve y x at the point 1, 4

A: We can find the equation of tangent line to the curve as below

Q: find the derivative of y with respect to the appropriatevariable. y = √(s2 - 1) - sec-1 s

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Q: Find the equation of the tangent and the equation of the normal to the curve y = + at the point…

A: Our Aim is to find the equation of the tangent and the equation of the normalto the curve y=x+1x…

Q: Find the derivative of the function y = (tan '(z) ). ช่ ||

A: To find the derivative of  y=(tan-1(x))23

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

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find an equation of the tangent line to the graph of y = e at the point 2, y =

A: The given function is:y=e-x2The point is 2, 1e4

Q: find the derivative of y with respect to the givenindependent variable. y = xπ

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Q: 3x+ Find an equation of tangent line to the curve: f(x) = EGL

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

Q: Find the equation of the tangent line to the curve f( x) = Assume f'( x) =- and x = 1.

A: Answer and explanation is given below....

Q: Find the equation of the tangent line and normal line to the given curve at the specified point. y =…

A: The given equation is,

Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

Q: 3. y = ( lat x 1

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Q: find the derivative of y with respect to the appropriate variable.35. y = sinh-1 (tan x)

A: Given, y=sin h-1tan x

Q: Calculate the derivative of the following function. y=cot(18x ex)

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

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Q: Find the equation of the tangent and normal lines to the curve y=sqrt(x) at the point (1,1).

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Q: Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: The given problem is to find the tangent line to the curve f(x)=x/(x+4) at the given point (-5,5).…

Q: Find an equation of the tangent line to the graph of ​f(x)=ex​, where x=−0.3.   The equation of the…

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Q: find the derivative of y with respect to the appropriatevariable. y = sin-1√2 t

A: To find the derivative of y=sin-12t

Q: calculate the derivative with respect to x.

A:

Q: Find the equation of a tangent line to the curve y = x e2x at the point where x=1

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

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Q: 2. Write the equation for both the tangent line and normal line to the curve y = (x – 1)/( + 1) at…

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Q: Find the equation of the tangent line with values g(x)= squareroot x and f(x)= x2

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Q: find the slope of the tangent line to the curve at the given point. x^2 + 4xy + y^2 = 13, (2,1)

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Q: Find an equation for the tangent line to the following curve at the point where x = 1.

A: Please refer the attached image for complete solution. THANK YOU.

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

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Q: Find the slope of the tangent line to the curve y = 1/√,x at the point where x = 4.

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Q: Find an equation of the tangent line and normal line to the curve at the given point. y = x* – 2e*,…

A: Given curve is y=x4-2ex. To find the equation of the tangent line and normal line to the curve at…

Q: Find the value of x at which the tangent line to the curve y = passes through the origin. x+3

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Q: Find an equation of the tangent line to the given curve at the specified point: 4, x + 3 y =

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