Find the slope of the tangent line using the Definition of a Tangent Line for: Y = X² –2× at the point (1,–2). o m=0 o m=2 o m=4 o m= - 2

Q: Find the slope of the tangent line to f(x) = e***4* at the point where x 0. %3D a) 00 b) O-4 d) 04

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Q: Find the equation of tangent line of the function f(r) = e"/x at the point a = 1. Write in the form…

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Q: Find all values of x where the tangent lines to y = x² and y = x³ are parallel.

A: Slope of both curves are equal

Q: Find the equation of the tangent line to the curve y=2sin(x) at the point (pi/6, 1) in y=mx+b

A: Using equation of tangent formula.

Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = x – x; x = 4 O…

A: Given curve is Differentiating with respect to x , we get Now, we will find f(4) and f'(4)

Q: Find an equation of the tangent plane to the graph of f(x, y) = at the point (2, 9). y Z =

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Q: Given f(z) = x+ VE Calculate the tangent line at the point (16, 20) y : (2- 16) + 20

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Q: Find the equation of the Tangent line and Normal line to the following curves at the indicated…

A: Given :xy3=8  at 1,2x2y3=6x+y+1 at 0,-1

Q: Find the slope of the tangent line to the function: 4y 27 1 + х2 At point (1, 1) . 2.

A: Given:

Q: Find the equation of the tangent line to f at x = a. f (x) = x2 + x, a = 1

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Q: Which of the following lines is perpendicular to the tangent line of y= х-3 at the point (2, –2) ? y…

A: We have to solve

Q: Find the equation of the tangent line to the curve given by F(t) = (cos(rt), t, 1+ t²), for t € [0,…

A: (a) First find the derivative of the given curve.  r't=-πsinπt, 1,…

Q: Write an equation for the tangent line to the curve y - x= 2 at the point (1,V3). O A. x-2/3y+5=0 O…

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Q: Let f(x) = x + vx . The equation for the tangent line at the point (1, 2) is y = m(x – 1) +2, where…

A: Given: fx=x+x

Q: Use implicit differentiation to find without first solving for y. dæ (x + y)° = x°y³ %3D dy a) dæ…

A: Given equation(x+y)5=x5y3differentiae with respect to x

Q: Find the equation of the line that is tangent to the curve r = r In y, I> 0, at the point (1.e).

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Q: Find the equation of the tangent plane to z=e^y+x+x^4+6 at the point (4,0,267).

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

A: Given: To find an equation of the tangent line to the curvey=x at the given point (1,1)

Q: Find the lines that are tangent and normal to the curve y = tan x at the point (, 1)

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Q: Find an equation of the tangent plane at the given point. f (x, y) = x/√y,  (4, 4)

A: Given : The function is f ( x, y) = xy and point ( 4, 4 ).

Q: Find the equation of the tangent line at (1,2) for x'+2y = 9 y- A= B(x - C)

A: point (1,2)  ; x3+2y2=9 In the given point x is 1, y is 2

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

A: We have to find the equation of tangent line to the curve: y=x at the point 1, 1 We know equation of…

Q: The equation of the tangent line to the curve a? +y = 16, at (4,-13) is 4 13 13 (x – 4) + 13 4 4 y =…

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Q: find an equation of the tangent plane at the given point. f (x, y) = x2 + y−2, (4, 1)

A: To find equation of tangent plane at (4,1)

Q: Can you solve this problem and show all of the steps and say the correct letter

A: here the given equation, we have to find the slope of the tangent at point (1, 1).

Q: Find an equation of the tangent line to the curve at thegiven point  y =  e x  / x…

A: Given curve is y=exx To find: Equation of the tangent line to the curve at point (1,e). Solution:…

Q: Given x = y1/y , find its tangent line at (1, 1)

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Q: The curves y = In x and y = 3x² have parallel tangent lines at x = A) ± √/ B) C) √6 E) 2

A: Two lines have parallel tangent if slop at the point is same.

Q: Find the slope of the tangent line to the graph of yx = xy at each of the following points.    (i)…

A: The given equation is, yx=xy   Take natural log on both sides. lnyx=lnxyxlny=ylnx   Differentiate…

Q: Find the slope of the tangent line to the trochoid x = rt – d sin(t), y=r – dcos(t) in terms of t,…

A: Given: x=rt-dsin(t), y=r-dcost To find: Slope of tangent line to given trochoid in terms of t, r and…

Q: Find the equation of the tangent line (assuming it exists) to f(x) = x² + x at x = -2. Give your…

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

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Q: Find an equation of the tangent plane at the given point. g(x, y) = ely, (4, 1) (Express numbore in

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Q: Find all values of x where the tangent lines to y = x and y = x° are parallel.

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Q: On the curve y=x', find a point at which the tangent is parallel to the chord joining (0, 0) and (1,…

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Q: Find the slope of the tangents to the curve at the points (P1 and P2) where it crosses the x-axis.…

A: First find points P1 and P2 and than find the derivative at that points.

Q: Find the slope of the tangent line to the curve I defined b y 5x²+8xy-4y"= 1B47 atthe point %3D…

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Q: Find the slope, m, of the tangent to the curve y = 2√x    at the point where x=a

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Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = = ;x = -3 4 O…

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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 slope of the tangent line to the given curve at t=-2. Sx=r-1 y=²-28t The slope is

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Q: Find the slope of the tangent line to the cerve, x-xy°+Iny= 24 at the point C3,2)

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Q: Find an equation of the tangent plane to the graph of f(x, y) = 9x at the point (2, 9 Vy z =

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Q: Find the equation of the tangent line to a? + y? = 9 at the point (2, v5) O y = 5+ 2 (x - 5) V3 Oy =…

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Q: Find the slope and y-intercept of the tangent line, in the form y = mx + b, to the curve at the…

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Q: Find the slope of the tangent line to the curve 2a? – 4xy – 4y³ = 4 at the point ( – 2, – 1).

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Q: Find an equation of the tangent line at the point indicated. s(t) = In(7 – 3t), t= 1. %3D (t-1)…

A: Following steps help to find equation of line tangent . 1.Find the first derivative of f(x). 2)…

Q: image attached

A: Use chain rule:

Q: Estimate the slope of the tangent line to each curve at the given point (x, y). 5. E L IN NN IIE…

A: Slope of the tangent line