Find the equation of the tangent line to the curve y = x* + 6e* at the point (0, 6). y =

Q: Find the points on the graph of y = tan x, 0sxs2n, where the tangent line is parallel to the line 4x…

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Q: Find the slope of the tangent line to the curve 4x2 – 2xy – y = 32 at the point (2, – 2).

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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: Find the equation of the tangent line at the given value of x on the curve. y° +xy² -61=x+3y°; x:…

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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 the equation of the tangent line to the curve y= (1+2x)2 at the point (2, 25). y = %3D

A: This question is based on application of Derivative.

Q: Find the equation of the tangent line to the curve at the given point using implicit…

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Q: Find the equation of the tangent line at the given value of x on the curve. 2y' +xy - y = 54x*, x= 1…

A: Explanation: Given that: 2y3+xy-y=54x4 x=1 Concept: The standard equation of tangent line y=mx+c…

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: 2 Find the equation of the tangent line to the curve y =xNx +5 at the point (2,6)

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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 the slope of the tangent line to the curve 4x + 4cy- 4y° 276 at the point (- 1,4).

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Q: Find an equation of the tangent line to the curve  y = x sq root of x  that is parallel to the line…

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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). e…

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

Q: Find the slope of the line tangent to the curve x + sin(y-π) = 2x3 + ey at thr point (-1,0).

A: Find dy/dx

Q: Determine the equation of the tangent line to the curve y = f2 (x) at x = −2con

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: To determine the equation of tangent line to the given curve at point (1, 0).

Q: What is the equation of the tangent line to the curve y= In(x“ + 1) at x=1?

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Q: y = 16 X + x² at x at x = 4.

A: Given Equation :- y=16x+x2  Find the equation for the tangent line to the curve at x=4

Q: Find the slope of the tangent line to the curve (a lemniscate) 2(z + v²) = 25(z² - y³) at the point…

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Q: Find the equation of the tangent line to the curve y = rVI at the point (4, 8). %3D

A: We have to find the equation of tangent

Q: Find the equation (in terms of x and y) of the tangent line to the curve r=4sin2θ at θ=π/3. y=?

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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: Find the equation of the tangent line to the curve y = 8/x2 + x + 2 at x = 2.

A: Given, y=8x2+x+2,  at x=2 slope of curve at x=2 is dydx dydxx=2=-82x+1x2+x+22dydx=-4064=-5/8 at x=2,…

Q: Find the equation of the tangent line to the curve y = 4r- 3r through the point r= 2 using the…

A: Given curvey=4x-3x2

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: Given equation of curve is (x2+y2-y)2=x2+y2 Differentiate both sides with respect to x.…

Q: Find the equation for the tangent line to the curve y = 25 X + x² at x = 5.

A: Equation of tangent line to a curve y=f(x)  at x=a is given by y-f(a)=f'(a)(x-a)

Q: y = xv16 + x², (0,0)

A: Topic:- application of derivatives

Q: Find the equation of the tangent line to the curve y = 2 In(x - 26) at the point (3,0). %3D y =

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Q: Find an equation of the tangent line to the curve y = x/x that is parallel to the line y = 6 + 3x. y…

A: The given question has been solved in detail

Q: Find an equation of the tangent line to the curve  y = xsqrtx  that is parallel to the line  y = 6 +…

A: Given data: *The equation of the curve is y=x×x *The tangent line is parallel to the curve y=6+3x…

Q: Calculate the equation of the tangent line to the curve 2x 3 + xy + 3x + y = 2 at the point (0, 2).

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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 equation of the tangent line to the curve at the given point using implicit…

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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)?

A:

Q: Find the slope of the tangent line to the curve y = (1+ 4x)7 at the point x = 2. %3D

A: Slope of the tangent line is obtained by just derivative of the function  wrt the independent…

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

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Q: Find the equation of the tangent line to the curve y= x4 + 6ex at the point (0,6). Enter exact…

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

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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 the equation of the tangent line at the given value of x on the curve. 2y° + xy - y = 16x*; x=1…

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

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Q: Find an equation of the tangent line to the curve x2/3 + y2/3 point (1,8). 5 at the

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Q: Find an equation for the tangent line to the curve y = 2/x at the point (2, 1) on this curve.

A: Given, Equation of curve : y=2x      (i) Common point = (2,1)

Q: Find the equation of the tangent line at the given value of x on the curve. 4y +xy-y 32x*; x=1 y=

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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: Find the tangent line to the curve ry = a +y+1 at (3,2)

A: Given data: The expression for the given curve is xy=x+y+1. The given point is (a,b)=(3,2).…