Consider the following function. Vx. (1, 1) (a) Find an equation of the tangent line to the graph of f at the given point. y =

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

A: Given curve:

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A: The objective is to find the equation of the tangent line.

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Q: Find the equation of the line tangent to the graph of f(x) = 4 sin(x) at a = T.

A: Given,          fx=4sinx at x=π.

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Q: Find an equation of the tangent line to the graph of the function at the given point , y = x2ex −…

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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 to f at x = a. f (x) = x2 + x, a = 1

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Q: b. b. y = 2 1+e-x at (0,1)

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Q: Find the equation of the tangent line for x=t^3+1, y=t^2-t at t=1

A: x=t3+1  y=t2-t To be found - Tangent line equation at t=1

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,…

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Q: Find an equation of the tangent line to the graph of f(x) = xe¯X at its inflection point. y =

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Q: Find the tangent line to the function y = x^2 at (1,1).

A: The given function is: y=x2 Now differentiate it with respect to x: y'=ddxx2y'=2x Put x=1 in y' to…

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 equation of the tangent line to the given function at z = a. w(2) = tan (3x) +x, a=0 3 !!

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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: 3xy+ 2yz – 4xz = 3 , (1,1,0)

A: First we find out partial derivatives of given function at given point.and solve it.

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: Find an equation of the tangent line for the following functions at the given points. a. y = x* -…

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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:…

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Q: Find the equation of the tangent to the following curve at the point where x = 1 y=Vx

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Q: Find an equation of the tangent line to the graph of the function at the point (0,1). (a) y = ex…

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Q: Find the equation of the tangent line to the following curves at a given point y = x² – 6x + 9 at x…

A: 1)y=x2-6x+9 at x=2 2)y=sqrt(x+3) at x=1.

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Q: Find the slope of the tangent at (0, f(0)), for the function, f(x)=/cos (2) + e

A: We have to find the slope of tangent at 0,f0 for the function: fx=cosx+e-x Here point is given as…

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A: Graph of y=x+sinx

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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 graph of the function at the given point.    f(t) = 3t −t2…

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Q: Find the equation of the tangent line to the function f(x) at the r-value r = 1, and write it in the…

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

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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: f (z) = V 425 + 21 at the point (1,5)

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Q: .Determine the equation of the normal to the tangent line at the point (2,1) for the function…

A: Given : x2+4xy+y2 = 13

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Q: Find the point where the tangent line to y = a" at a = 0.6 crosses the x-axis. x-intercept =

A: X- intercept is x=0.45 See the calculation below

Q: Find the equation of the tangent line to the graph of f (x)= 3e* +1_where x, = In 2.

A: As a first step we need to find the derivative of f(x) at the given point.

Q: 2 2х + 2х +1 G(x) = Jsech(x) y e dy

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

A: Given equation of curve is  The point on the curve when w=1/8 is given by The slope of the tangent…

Q: Find the equation of the tangent line of the curve y = sin x + cos x at the point A(, v2). 4'

A: Point-Slope form of equation of line : y-y1 = mx-x1 where m is the slope of the line and x1, y1 is…