Find equation for the tangent line at (-l,1) , then an to the curve y= | sketch them togethor

Q: Find equations of the tangent line and normal line to the given curve at the specified point. 3x…

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Q: Determine the slope of the tangent line to the curve of sin(x + y) = y2cos(x)  at  the point (x,y) =…

A: Topic = Derivative

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

A: Given : The equation of the curve is y = sin x and point is π4 .

Q: Find the equation of the tangent line to the curve y = x* + 3e" at the point (0, 3). y =

A: Equation of tangent to a function fx at point a,b is defined as y-b = m x-a where m is the slope of…

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: (a) Find the equation of the tangent line to the curvey = 2 sec x – 4 cos x at the point (, 2) %3D

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

Q: Find the equation of the tangent line to the curve y = sin x cos x at x = π/4 (Coefficients must be…

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Q: Find the tangent line at (-1,3) to the curve y* – 2xy – 27 =0. ,3 |

A: Given- y4-2x2y3-27=0 To find- The equation of the tangent at the point -1,3 to the above curve.…

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: The slope of the tangent line y = esec²x at ( 0 , e) is

A: The given curve is  y = exp(sec2x) GGiven point is (0, e)

Q: At how many different values of x does the curve y = x +2x have a tangent line parallel to the line…

A: Given equation of curve is Differentiating with respect to x, we get

Q: Find an equation of the tangent line at the point specified. y = excos2 x, x = π/4

A: Given curve is y=excos2x. To find the equation of the tangent line at the point x=π4. Solution: The…

Q: At how many different values of x does the curve y =x+ 2x have a tangent line parallel to the line…

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Q: x = esine y = ecose

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Q: Find the equation of the tangent line to the curve y=csc(x) at x=pie/4

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

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

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

A: Given- y=excosx To Find- An equation of the tangent to the above curve at the point x=0.

Q: Find the slope of the tangent line to the curve V3x+y+v2ry = Vi+v4 at the point (2, 1). The slope is

A: To find the slope we need dy/dx

Q: Determine the equation of the tangent line to the curve, y = 4x e at x = 1. Use exact values.

A: Given y=e4xx3     at x=1To find equation of tangent:

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 equation of the tangent to the curve y=xcosx at x= 7. Use exact values in your answer f…

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Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A: Given curve is y=x-1. Power rule of differentiation states that, ddxxn=nxn-1 Differentiating the…

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

A: To Determine: Find an equation of the tangent line to the curve at thegiven point.…

Q: Find the slope of the tangent line to the curve y=Xarcc sin x at the point 2, Ta

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Q: Find the slope of the tangent line to the curve 2xy + 4* = y2 – tan(2x) at the point (0, 1). Give…

A: Given curve:      2xy + 4x = y2 - tan2x   slope of the tangent line  =  ?

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

A: y = sin(sinx) dy/dx = cos(sinx).cosx

Q: Find an equation of the tangent line to the curve y=5^x at the point (1,5) . Tangent line y =

A: We will find the equation of the tangent line to the curve y=5^x at point (1,5) in the following…

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

A: To find the equation of tangent line at the given point.

Q: Find the slope of the function F(x) = √√x+1 at the oint (8,3) And find the equation of the tangent…

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Q: A Find the slope of the tangent line to ya fix) = 1+x+x2 at X=a. %3D

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Q: Find the slope of the tangent line to the curve y = arctan(13x +e) at the point (0, 7/2).

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Q: Find an equation of the tangent line to the curve at the given point. y = 2/sinx+cosx,    P = (0, 2)

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Q: What is the slope of the tangent line to the graph of y= x + cosxy at the point (0,1)?

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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 at the point indicated.

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Q: estimate the slope of the tangent line to the curve at the given point (x,y)

A: Given that, line is the tangent line (pink) to the curve. We need to find the slope of the tangent…

Q: Find the slope of the tangent line to the curve 5 sin(x) + 5 cos(y) – 6 sin(x) cos(y) + x = 6T at…

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

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

A: Find an equation of the tangent line to the curve atthe given point.y =sin ( sin x) ,…

Q: Estimate the slope of the tangent line to curve at the given point(x,y)

A: The given graph of the curve and its tangent line is:

Q: Determine an equation of the tangent line to the curve y = (3x)(sinx) at x =

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Q: Find an equation of the tangent line to the curve at the given point. y = 3/sinx+cosx,    P = (0,…

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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 an equation of the line that is tangent to the curve y = e* sin x at the point (0, 0). Tangent…

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Q: What is the slope of the tangent line to the curve y = at the point (3,)?

A: What is the slope of the tangent line to the curve y=1x at a point 3, 13 ?

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 for the tangent line to the curve + xy - y = 1 at the point (2, 3). %3D

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Q: Find the slope of the tangent line to the curve x y-y = 10 at the point (3,2). -5/3 0 1 0 4 O 1/4

A: Given a curve x2y - y3 = 10  So here slope of tangent will be dydx  at given point 3 , 2 Now…