Find the slope and equation of the tangent line to the graph of f(x) = Vx - 5 at x = 3 (hint: when vx, we can rewrite this as xi)

Q: y = 3x?+1 ; (0,1)

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Q: Find an equation of the tangent line to the graph of y = In(x²) at the point (3, In(9)). 2x y = * +…

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Q: Find an equation of the tangent line to the graph of f (x) = ex, where x = -1.

A: To find equation of tangent f(x)=ex at x=-1

Q: find the slope and equation of the tangent line to the graph of f at point P(4, 14)f(x) =x^2 -2

A: Given a function f(x) shown below. Here we need to determine slope and the equation of tangent line…

Q: Find an equation of the tangent line to y = 24ex at x = 2.

A: Our Aim is to find an equation of tangent line to y=24ex at x=2At x1=2, we have y1=24e2Now we find…

Q: Find the equation of the tangent line at the given value of x on each curve.  y4(1 - x) + xy = 2; x…

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Q: Find an equation for the line tangent to given curve at the given value of x. y=x2−x at x=−3

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Q: Find an equation of the tangent line at x = 3, assuming that f (3) = 5 and         f ,(3) = 2.

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Q: Find the equation of the tangent line to the graph of y(x) = 12( - ;)' at æ = 2. Equation of the…

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Q: Find the slope of the tangent line to the graph of y = x2 at the point where x = - 1/4.

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Q: Find the equation of the tangent line to the curve f(x)= x2 +5x when x=1.

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Q: Find (and simplify) the equation of the tangent line to the graph of y = 24 at x = 1.

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Q: f (x) = v25 – x² at the point where x 4 -

A: Let:          fx=yy=25-x2 at x = 4,        y=25-42  =25-16  =9  =3 To find the equation of the…

Q: If f(x) =x'e*, find the slope of the tangent line at the point x 1.

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Q: Find an equation of the tangent line to the graph of y = x^3 − 1 at the point where x = 2.

A: To find the equation of the tangent line at x=2.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x? –…

A: Given:    y=4-x2-ln12x+1 at (0,4)   We are given that x0=0   The value of function at given point…

Q: find the equation of the tangent line to the curve when x has the given value f(x)=16/x ; x=2

A: To find the equation of tangent line to the below curve at x = 2.

Q: Find an equation of the tangent line to the curve at the given point y = 4x2 – x, (1, 3)

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Q: Write an equation for the tangent line to g(x) at x = 2 if g(2) = 7 and g' (2) =-3.

A: g(2)=7 and g'(2)=-3 , we have to find tangent line

Q: f (x) = x² + Vx at the point x = 1

A: Consider the given: fx=x2+xf1=12+1f1=1+1f1=2Find the derivative:f'x=2x+12xAt…

Q: y=x²-2xe*+2le

A: Given: y=x2ex-2xex+2ex &  Px,y=1,e  As we know that; The slope of the tangent line to the curve…

Q: Find an equation of the tangent line at x = a, y = x² – - X; a = - 2

A: Equation of tangent line ,  y - y0 = m ( x - x0 )  Here m is the slope of tangent line and  ( x 0 ,…

Q: By definition find the equation of the tangent line to the graph of y = (0, -2) at the point X-6

A: in this question, first we will find the slope of the line at given point and then find the equation…

Q: Find an equation of the tangent line to the curve at the given point. 2x (0, 0) (x + 1)2'

A: The given curve y=2xx+12, at the point 0,0

Q: Find an equation of the tangent line to the graph of the function y=xex-ex

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Q: Find the equation of the tangent line to the curve at the gvien value x. f(x)= (7)/(x-2); x=3

A: Given,

Q: Find the equation of the tangent line at the given point. 1 :- x, (-1,2) Vx2 f(x) = 3

A: Here we use the equation of tangent line:

Q: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = - 1- 2x Provide your…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 2−x, (−1,…

A: Given: y=2-x  ,-1,2

Q: Find an equation of the tangent line to the graph of f(x) = x2 when x = −2.

A: Given function is fx=x2 To find: The tangent line to given graph when x=-2. Solution:…

Q: Find the equation of the tangent line to y = 3e at x 7.

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Q: Find the exact value of the slope of the tangent line to the graph of −2x2−3xy+3y3=13at the point…

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Q: Function Point . y = x+ – 3x? + 2 (1, 0)

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Q: find an equation of the tangent line at the point indicated. f (x) = 5x2−2x , x = 1

A: At x=1 find f(1)

Q: Find an equation of the tangent line to the graph of f (x) = - at the point (1,2).

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Q: Find the equation of the tangent line at the given point. 1 f(x) = х, (-1,2) Vx2 3

A: We have to find the equation of the tangent line of  f(x) = 1x23-x  at (-1, 2).

Q: Find the equation of the tangent line to the graph of f (x) = 2e- at x = 0.

A: A tangent is a line that just touches the curve at a particular point

Q: Find the equation(s) of the tangent line to the graph of f(x) = x² +1 passing the point (3, 1).

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Q: Find the equation of the tangent line at the given point 1 ·y =- X - 3 ; (0, -३) 3*

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Q: Find the equation of the tangent line to the curve at the point (1,-3) x^2 +2xy-4y^3=103

A: Given :-  curve x2+2xy-4y3=103  To find :-  Equation of tangent line passing through (1,-3) to Given…

Q: Find an equation of the tangent line to the graph of y = e at the point 5,

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Q: Use this formula to find the slope of the tangent line to the curve at the given x-value. f(x) =…

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Q: Find an equation of the tangent line to the curve at the given point. f(x)=(1-3x)1/2, (-1,2)

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Q: Find an equation of the tangent line to the curve at the given point. y = x3 - 2x + 1, (3, 22) y =

A: y = x3 - 2x + 1 ( x1 , y1 ) = ( 3, 22 )

Q: Determine the equation of the tangent line to the graph of y = y2 – x² at the points (분 ) and (블, )

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 5x−2, (2,…

A: Find an equation of the tangent line to the graph of the function at the given point. y = 5x−2, (2,…

Q: Find the equation of the tangent line to the graph of f(x) = 3x' + 4x – x – 4 at x = - 1. y = help…

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the slope and equation of the tangent line to f(x) =4+2x at a 3 using the definition.

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Q: Find the equation of the tangent line to the graph of x2y2+4xy = 0 at the point (-4, 1).

A: Given: x2y2+4xy=0  at point -4,1