Find the slope of the tangent to the curve f(x)=vx at (1,-3). O a. 7.5 O b. 4.5 O C. 8.5 d. 9.5

Q: Find the slope of the tangent line to the curve – 2x? + 4xy + y³ = 8 at the point (4, 2).

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Q: II. Find the equation of the tangent and normal to the curve at the indicated point 1. y =x at (2,4)

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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: At what point on the curve y = [ln(x + 4d)]2 is the tangent  horizontal?

A: Given function is, y=ln(x+4)2

Q: Find the slope of the tangent line at z= - 2 for f(z) = 4z? + 4z 0 8 O -12 O -16

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Q: d. Find the slope of the tangent line to the graph of x +y + xy 3 at (1, 1).

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Q: Find the equation of the tangent line at the given value of x on the curve. y + xy? - 5 =x+3y; x= 3…

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Q: Find an equation of the tangent line to the curve y 4t at the point (3, 3). t+1

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find the slope of the tangent line to the curve læ? – læy – 3y: - at the point (– 1, 1).

A: Given curve1x2-1xy-3y2=-1To find :Slope of the curve at point -1,1

Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find an equation of the tangent line to the curve at the given point. y = Vx, (64, 8)

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Q: Find an equation of the tangent line and normal line to the curve given by f(x) = x? – 6x + 5 at the…

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Q: Find the equation of the tangent and normal to the given curve at the given point. 1. 2x +3y 5 at…

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

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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: (b) Find the equation of the line normal to the tangent at the point (1,4) on the curve x'y+ xy =…

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Q: Find the slope of the tangent line to the graph of the function at the given po y = e 5x y (0, 1) -2…

A: Given curve y=e-5x, point 0,1. Differentiation with respect to x we get…

Q: Compute f 1 (x) and find an equation of the tangent line to the graph at x = a. f (x) = x4 , a = 2

A: Consider the given function fx=x4  When x=2, then y=fx=24=16 Hence, point on the curve is 2, 16   To…

Q: Find an equation of the tangent to the curve  y= x ln x at the point (e ,e )

A: Given: y=xlnx, e,e for finding equation of tangent, we need slopem of tangent at given pointe,e we…

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: ind an equation of the tangent line at x = a. y = x2 + 3; a = -2

A: Given: y = x2 + 3; a = -2

Q: Find an equation of the tangent line and normal line to the curve at the given point for the…

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Q: Find an equation for the tangent curve x= 3e^t, y= 5e^-t at t = 0.

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Q: find an equation of the tangent line at the point indicated. s(t) = ln(8 − 4t), t = 1

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Q: Find the equation of the tangent line to the curve at the given point. y = 9x – 8/x, (1, 1) %3D

A: Given,           Equation of the curve is y = 9x -8x  and point = (1,1)

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

A: We have given the curve y = x5 + 3e5 and the point (0, 3). Find the slope at x = 0. Therefore, we…

Q: 50. Find an equation of the tangent line to the graph of y = Vx/(x + 1) at (a) x = 1; (b) x = !.

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Q: Find an equation of the tangent line to the curve at the given point. y = Vx, (25, 5)

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Q: What is the slope of the tangent line that touches the graph of In y + e2z-1 = 3y – 4x at the point…

A: Given that: lny+e2x-1=y-4x

Q: What is the equation of the tangent line to the graph of f'(x) at x = 4, if f(x) = vx? O y = - + O y…

A: Topic:- application of derivatives and tangent equation

Q: (b) Find the equation of the line normal to the tangent at the point x’y+xy² = 6.

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Q: (2) At what point(s) will the tangent line to y = x? - 4x +3 be horizontal

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Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

Q: Find the equation of the tangent line to y = e-9* at t = 0. y =

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Q: Find the slope of the tangent line using the Definition of a Tangent Line for: Y = X² –2× at the…

A: The definition of the slope of the tangent line at x=c is given by: limh→0fc+h-fch Given: y=x2-2x…

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find the slope of the tangent line to the curve at the given value of the parameter. x= 2t2 +5t y=t3…

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Q: Find an equation of the tangent line to the curve at the following point: y = z°e², (1,1/e) y =

A: SOLUTION-

Q: Find an equation of the tangent line to the function y = 3x at the point P(1, 3).

A: Given: The function y=3x2 . The equation of tangent line at the point Px1, y1 to the a curve y=fx…

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

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Q: The slope of the tangent line to the graph of the function y = 5/T – 4 at (16, 16) is , O -1.50 O…

A: We have to find the slope

Q: (c) Find the equation of the tangent plane to the graph of f(x, y) at (1,1,3).

A: Suppose surface S defined by a differentiable function  z=fx,y and point Px0,y0,z0 lie on the…

Q: Find the equation of the tangent line to the curve x=4+2t, y=1−t2 at the point t=1.

A: We need to find the equation of tangent line to the curve at point t=1

Q: Find the smallest positive value for 0 for which the tangent line to the curve r = 4e".00 is…

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Q: Find the slope of the tangent line to the curve x+y3D6 xy at the point (3,3). (a) 0 (b) -1 (c) 1 (d)…

A: To find: slope of tangent line at the point (3,3) to the equation of curve given below.

Q: B) Find the slope of the line tangent to the curve y = sin x at the point where x =

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2(a² + y?)' = 25 (æ² – y²) at the…

A: The given equation of the curve: 2x2+y22=25x2-y2

Q: Find an equation of the tangent line to the curve at the given point. y = v x, (81, 9) y = |0

A: y = xdifferentiate with respect to x,dydx= 12xdydx(81,9)= 1281=118