Consider the graph of y =JX) shown below in blue. Submit your answer to this question by completing the following tasks: 1. Drag the movable black point to a point where the derivative of the function is -4. 2. Draw an approximation for the tangent line to the function at your chosen location by dragging the red point. Provide your answer below: 10 -5- -10 -5 10 -5 -10- CURMIT

Q: 1) Find an equation of the tangent line to the curve at (1,1). y = cos (In x²) %D

A: Given. Curve is  Y = cos(ln X²) We need to find the equation of the line which is tangent to the…

Q: Find an equation of the tangent line to the given curve at the specified point. = (1, e) X y =

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Q: Find an equation of the tangent line to the graph of the equation In(x) + xe' = 1 at the point (1,…

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Q: 16. Find the equation of the tangent line to the curve y = e* at the point (a, f(a)) when a = In 3.

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Find an equation of the tangent line to the following curve at the given point. y = eX cos TX, (0,…

A: Given,          y=e9xcosπx ; 0,1

Q: y = Vx+3 at x = 1

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

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Q: Find the equation for the tangent line of the graph of y = x° at (0,0).

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Q: Find an equation of the tangent line to the curve at the given point y = x + tan x, (T, 7)

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Q: 1 Find an equation of the tangent line to the graph of f(x) = c) at a) at (1,1); b) at 3, '27

A: Given - A Function To find - Its tangents at given points

Q: Find an equation of the tangent line to the given curve at the specified point. (1, 0) y = (x2…

A: Given informationGiven curve and point as

Q: Find the slope of the tangent line to the curve at the given value of the parameter. r=cose at 0= -…

A: Given         r = cos θ ---------------------------------------(1) Differentiating with respect to…

Q: 11) Use implicit differentiation to find the slope of the tangent line to the curve at the specified…

A: We will find the slope of the tangent line of the given curve at the specified point.

Q: Find the equation of the tangent line to the following curves at a given point. 1.y=5x^2-7  at x=1

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Q: Find an equation of the tangent line to the graph of the function at the point (1, 1). y = xCosh x

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Q: Find the equation of the tangent line to the given function at z = a. w(2) = tan (3x) +x, a=0 3 !!

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Q: Find an equation of the tangent line to the graph of fat the given point. f(x) X -

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Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…

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Q: Find the slope of the tangent line to the curve given by x + y° = 2 at the point (1, 1) -1 O 1

A: find the slope of the tangent to the curve x5+y5=2 at (1,1)   d(xn)dx=nxn-1

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

A: To find: The equation of the tangent line to the curve  at the given point0,3 Given information: The…

Q: 1. (a) Use implicit differentiation to find the slope of the tangent to the curve y? – xy +y + 2 = 0…

A: Given: The equation of the curve y2-xy+y+2=0

Q: Find an equation of the tangent line to the following curve at the given point. y = e cos TX, (0, 1)

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

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Q: Determine the slope of the tangent line to the given curve at the specified point tan(x+y) = x;…

A: WE have to Determine the slope of the tangent line to the given curve at the specified point…

Q: 2. Use implicit differentiation to find the tangent line to the given curve at the given point P (a)…

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

A: Given curve is y=x. To find equation of tangent line at point 1,1. Differentiating the given curve…

Q: Find an equation of the tangent line to the given curve at the specified point.(1,0) y =x2-1/x2+x+1

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Q: Find the equation of the tangent to the curve y = cos 2x at the point where x = kko

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

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Q: Find the coordinates of the point in the first quadrant at which the tangent line to curve…

A: Find the coordinates of the point in the first quadrant at which the tangent line to curve…

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

A: Given problem is : Definition :

Q: Find the equation of the tangent line to the following equation at the specified point y= cos-1(x)…

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Q: Find an equation of the tangent line to the following curve at the given point. у %3Dех сos пх, (0,…

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

A: To find the equation of tangent to the curve given:

Q: Use implicit differentiation to find the tangent line to the given curve at the given point (a)…

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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: . Find an equation of the tangent line to the curve y = Vx at the point (1, 1).

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Q: Find the slope of tangent to the curve y=sin 4x +3x at (5, 35). None O 7 O 3

A: Note :- Steps to find slope :- 1) Find the first derivative of f(x). 2) Plug x value of the…

Q: Find an equation of the tangent line to the curve at the given point. y = 5ex cos(x), (0, 5)

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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 of the tangent line to y = g(x) =x? + 2 cos(x) at the point where x= 2

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Q: Find y' and the slope of the tangent line to the graph of the equation below at the indicated point.…

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Q: Find the equation of the tangent plane to the graph of xe*y- eyz = In(x?) at the point (1,1).

A: Solution

Q: 2. Use implicit differentiation to find the tangent line to the given curve at the given point P (a)…

A: To find the tangent line on the given curves at the point given

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 the equation of the tangent line to the curve xy +xy 12 al the point (6, 1).

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Q: Determine the equation of the tangent line to g(x) = sin(6x) at x = A.

A: Given ,  g(x) = sin(6x) at x = π  We have to find the equation of the tangent line  g(π) = sin(6π) =…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: