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

Q: 3. Find an equation of the tangent line to the graph of y = log,x at the point ( 32,5).

A: We need to find the equation of the tangent line to the graph of y=log2x at the point (32,5) . Using…

Q: What is the equation of the tangent line of f(x) = In(2x – 3) at the point x = 2?

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Q: Write the equation of the tangent line of the given equation through the given 3 point y = x° – 3x +…

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Q: Find an equation of the tangent line to the given curve at the specified point. 4x у 3 (3, 1) X9

A: Obtain the derivative of y as follows.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4-x- In(x+…

A: The function is given by y = 4-x2-ln12x+1 The point is x0,y0 = 0,4 To evaluate the equation of the…

Q: Find an equation of the tangent line to the curve at the given point. y =  4x x + 3 ,…

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Q: Find the equation of the tangent line at x= 10

A: To find: The derivative of function fx=x-1 by limit definition of derivative and also find the…

Q: Find the slope of the tangent line to the curve - 2x2 + 3xy + ly 38 - at the point (1, – 3).

A: Given:   To determine: Slope of the tangent line to the given curve at point (1, -3)

Q: Find an equation of the tangent line to the curve at the  given point. y = ln(x2 - 3x + 1), (3, 0)

A: Given: y=ln(x2-3x+1), (3, 0)

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (5, ln(25)).

A: Given:

Q: Find an equation of the tangent line to the curve at the given point. y = 5x/(x+4),    (1, 1)

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Q: Find the equation of the tangent line at the given value of x on the curve. y3 + xy? - 3 = x + 5y²;…

A: Calculate y at x =5.

Q: Find an equation of the tangent line to the graph of y = e at the point 2, y =

A: The given function is:y=e-x2The point is 2, 1e4

Q: Find the equation of the tangent line to y = at 3 - x X = 1.

A:

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

A: The slope of the tangent to a curve at any point is given by the derivative at that point.

Q: What is the equation of the tangent line to the curve y= In(x“ + 1) at x=1?

A:

Q: Find an equation of the tangent line to the graph of the equation x2+9xy +y2 =25 at point (0, 5)

A:

Q: What is the equation of the tangent line at 3x+1 (0₁²) of f(x)= ³x + 1 0, 2 X-2

A: Diffrentiation of f(x) is done using product rule diffrentiation.…

Q: Find an equation of the tangent line to the curve at the point (1, y = x4e-x

A: Given that      y = x4e-x We have to find an equation of the tangent line to the curve at the point…

Q: Find an equation of the tangent line to the curve xe + ye = 3 at the point (0, 3)

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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 at the point (1,−3) to the curve defined implicitly below. x3…

A: The line is tangent to the given hyperbola at (1,-3).Tangent line is a straight line.Therefore, the…

Q: Find an equation of the tangent line to the curve at the giv y = In(x2 - 3x + 1), (3, 0) y =

A:

Q: Find the equation of the tangent line to the curve y=x4 at the point (−1,1).

A:

Q: Find the equation for the tangent line to the curve y = 25 X + x² at x = 5.

A: Equation of tangent line to a curve y=f(x)  at x=a is given by y-f(a)=f'(a)(x-a)

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

A:

Q: Find the equation of a tangent line to the curve y=xe2x at the point where x=1

A: We need to find the equation of a tangent line to the curve y=xe2x at the point where x=1. Now,…

Q: Find an equation for the tangent line Y= 4x-since when x=0

A: To find the equation of tangent  line

Q: Find the equation of the tangent line at the given point on each curve. ln(x + y) = x3y2 + ln (x2 +…

A: The equation of the tangent line at the given point (x1,y1) is y=mx+b where m is slope m=dydxx1,y1…

Q: Find an equation of the tangent line to the graph of the function                   y=2x2 + ln x2 ,…

A:

Q: Find the equation for the tangent line to the curve at the given point. f(x) = ln(6esin(x) − 5) at…

A: We need to find the equation for the tangent line to the curve at the given point.

Q: Find an equation for the tangent line to y =-3x- at the point x =-1.

A: We have to find equation of tangent line to the curve y=-3x2-1x3 at the point x=-1 To find the…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

A:

Q: Find an equation of the tangent line to the given curve at the specified point. x2 (1, 0) x2 + x + 1

A:

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 x° + 3xy² + y = 15 at the point (1, 2). y=

A:

Q: Find the equation of the tangent line to the curve at point (0, ln 2).   y=ln(e^x+e^4x)

A: the equation of the given curve is: y=lnex+e4x we have to find the equation of the tangent line to…

Q: What is the equation of the tangent line at x=-2 of f(x)=√√x -1

A:

Q: Find an equation of the tangent line to the given curve at the specified point. y = (4x)/(x+4)  (4,…

A: To find the equation of the tangent line to the given curve at the specified point, Differentiate…

Q: Find the equation of the tangent line to the function y = sec'x at the point :2 4-

A:

Q: Find an equation of the tangent line to the curve xe + ye* = 2 at the point (0, 2).

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Q: Find an equation of the tangent line to the graph of the function (x)= Vx –7 at the point (23, 4).

A:

Q: Find an equation of the tangent line to the curve at the given point:  y=(2x+1)/(x+2) ,    (1,1)

A: To determine the equation of the tangent line.

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

A:

Q: Find an equation of the tangent line to the curve at the given point. y = x* + 8x2 – x, (1, 8) y =

A: Given: y=x4+8x2-xPoint (1,8)

Q: What is the equation of the tangent line to the curve defined by the given function at the point…

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Q: Find an equation of the tangent line to the given curve at the specified point: 4, x + 3 y =

A:

Q: Find an equation of the tangent line to the curve at the given point. f(x) = 7x2 - x³, (1, 6) y =

A: