6. Find the tangent line equations for the given functions at the given point(s): x2 + 3xy + y3 = 15 at (1,2).

Q: find an equation of the tangent plane at the given point. f (x, y) = ln(4x2 − y2), (1, 1)

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Q: Find the equation of the line tangent to the curve xy^3+xy=6 at the point (3,1). When the equation…

A: Firstly, we will find derivative And then we can solve for y'and we get

Q: Find the equation of the tangent line to y = 2"-5a -5x+1 = 4. at x = y = 12 In 2 - 1

A:

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 5x + 1), (5, 0) y…

A: Given y=lnx2-5x+1 We have to find tangent line at (5,0)

Q: #17 Find the equation of the tangent lines LiĦ to y=fCX)= r at x=0 and x=-1 7-3X 2

A:

Q: Find the equations of the tangent line in the given plane. Given: v = (3t - x)e-2t

A: Given function - v = 3t-xe-2tWe need to find ∂2v∂t∂x,Concept - We need to partially differentiate v…

Q: 2. Find a point on the curve y = e 3x , at which the tangent line passes through the origin.

A: Solution: The objective is to find the point on the curve y=e3x at which the tangent line passes…

Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the…

A:

Q: 3. Find the equation of the tangent line to the graph of y at the point (1,0) given 2r² where r> 0.…

A: Given that: xy+1x2=2x2+y

Q: Find the equation of the tangent plane to the graph of g(x, y) = ln(6x² – 3y²) at the point (1, 1).…

A:

Q: Find the equation of the tangent line at the given point on curve.

A: According to power rule of differentiation ,ddx(xn)=nxn-1 and and according to product rule of…

Q: Find an equation of the tangent line to the curve at the given point. y = In(x² – 6x + 1), (6, 0) y…

A: As per guidelines we have to solve one question Please repost other questions again

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 an equation of the tangent line at the given point.…

A: The given function is,x2+sin y=xy2+1 , (1,0)

Q: B) Find an equation of the tangent line to the curve at the given point y = (1+ Vx)³ at x =1 ?

A: Given curve is, y=(1+x3 )3 at x=1.  The objective is to find the equation of the tangent.     For…

Q: The equation for the tangent line to the curve y=x3 which passes through the point (0,2) is y=mx+b…

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Q: Find the equation of the tangent line to the graph xy^2 − 2y = x^2 at the point (2, −1).

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

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Q: Find an equation of the tangent line to the curve at thegiven point.   y = e2x  Cosπ   x, (0. 1)

A: Given: y=e2xcosπx at 0,1 for finding equation of tangent at given we need slope m of tangent at that…

Q: Find the implicit equation of the tangent plane to z = In(x² + 1) + y² at the point (0, 4, 16).

A:

Q: Find an equation of the tangent line at the given point. xy + x2y2 = 6, (2, 1)

A: We first find dy/dx at x=2, y=1

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 2x + 1), (2, 0)

A: NOTE: Refresh your page if you can't see any equations. .   take derivative

Q: Find the equation of the tangent line at the given point on the curve. 2y- Vx 28, (16,4) y=D

A: 2y2-x=28,    16, 4. Slope of the tangent line is the derivative of the given function at the given…

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 7x + 1), (7,0) y =

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Q: 11. Find the equation of the tangent line at (2, 1) given In y = 4y² – x³ +4

A: 11. The equation of the curve is given by lny = 4y2-x3+4 To evaluate : The equation of the tangent…

Q: Find the equation of the tangent line of e –z = 4x at z = 3.

A: Here we find equation of tangent at x=3

Q: 8. Find the equation of the tangent line to the curve y = e* at the point (a, f (a)) when a = In 3.

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Q: Find the equation of the tangent line to the curve y = 6 sin x at the point (T/6, 3).

A:

Q: find an equation of the tangent line at the given point. xy + x2y2 = 6, (2, 1)

A: Our Aim is to find an equation of the tangent line of the given pointxy+x2y2=6 -(i) at…

Q: Find the equation of the tangent line to the curve y = Vx – 3 at the point (4, 1). - o y = }x - 3 2…

A: Explanation of the answer is as follows

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

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Q: Find the equation of the tangent line at the given value of x on the curve. y+xy² -22=Dx+5y; x= 5

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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 the equation of the tangent plane to z = ln(x³ + 1) + y³ at the point (0,6,216).

A:

Q: Find the equation of the tangent line at the given point: 5x² – 2xy + y² = 13 at (1, -2)

A: Given,                            .......(1) Point (1,-2)

Q: Find an equation of the tangent line to the given curve at the specified point. 2x y : X + 2' (2, 1)…

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Q: Find the equation of the tangent line to the curve at the given point. y = v2x + I, (4, 3)

A: →Slope, m = dydx→dax+bdx =12ax+b→Equation of straight line passing through (xo,yo) with slope m is…

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

A: Question no. 1Given,            A n equation of the tangent line to the curve y=x at the point…

Q: 1. Find the equation of the tangent line to the following curves at a given point. . y = Vx +3 at x…

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

Q: . Find the slope of the tangent line at the point P of (x² + y² )° = 4xy; P(1,1).

A:

Q: 4. Find the equation of the tangent line to y sin(2r) = r cos(2y) at the point (, ).

A: topic - equation of tangent line to curve

Q: Find the equation of the tangent line to the curve 2y³ – xy² + cos (xy) = 3 at the point ( 0,1) .

A: Given curve is:  2y3-xy2+cos(xy) = 3 For slope of the tangent, differentiate the curve equation

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

A:

Q: 3. Find the slope of the tangent line to r²e♥ + y²e² = 2e at (1,1).

A: Please see the answer below

Q: 1. Find the equation of the tangent line to the curve defined by the equation In(xy) + 2x – y + 1 =…

A: Given: lnxy+2x-y+1=0 for finding equation of tangent at point12,2, we need to find slopem of tangent…

Q: 3 Find the equation of the tangent line to the curve x*y – xy = –2 at the point (-1, –1

A: Given: x4y-xy3=-2 and the points are (-1,-1)

Q: FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 2.…

A: Given: x2y3-2xy=6x+y+1 To Find: Equation of the tangent line and normal line of the given curve at…

Q: Find an equation of the tangent line to the curve at the given point by both eliminating the…

A:

Q: Find the equation of the tangent line to the curve y% D In(x8) at the point (1,0). O y = 4x - 4 O y…

A: