Suppose the curve y=f(x) has a tangent line y=4x-5 at x=1. Consider the function g(x)=2f(x)+x+1 What is the slope of the tangent line to g(x) at x=1?

Q: 2. Find the slope of the tangent line to the curve y = x3 – 2x + 1 at x = 1.

A: As we know that: The first derivative of the function at a point is equal to the slope of the…

Q: Need answer to the following question.

A: We first find the slope of the tangent for which we need derivative of f(x).  Differentiating f(x)…

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 - 8x + 1), (8, 0) y…

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Q: find the equation of the tangent line to the curve f(x) = 2x°+3x² - 5x+3 at the point x = -1

A: Explanation of the solution is given below...

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 5x + 1), (5, 0) y…

A: Given y=lnx2-5x+1 We have to find tangent line at (5,0)

Q: Find an equation of the tangent line to the curve at the given point. 6. y =x² – 3x +1, (2, –1)

A:

Q: Find h'(-2) if h = f • g, f(x) = -6x2 – 4 and the equation of the tangent line of g at -2 is y = -9x…

A: Slope of y=-9x+6 is = -9 This line is tangent to g at x=-2  So we get: g'(-2)= -9   The tangent line…

Q: Find the tangent line to the curve y = x + 2x3-2x2 -3x + 3 which is perpendicular to the line x- 3y…

A: Given :y=x4+2x3-2x2-3x+3Line : x-3y=2

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

A:

Q: Find the equation of the tangent line to the curve g(x) = 5x2 - 6x +2 at the point (1, 1).

A: Use equation of  tangent line

Q: Find an equation of the tangent line to the curve x2y² – 2x = 9-y at the point (-2, 1)

A:

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 - 5x + 1), (5, 0) y…

A: We have to find equation of tangent

Q: Find an equation of the tangent line to the curve y = In(x² – 4x + 1) at x = 4.

A:

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 f(x) if f(2) = 3 and the tangent line at x has slope (x - 1)e** - 2x. f(x) = 1)et?

A: We have to find the function

Q: Find the point on the curve y = x-11x+5 at which the tangent has the equati on y = x - 11.

A: We will find the  point on the curve at which the equation of tangent is given as following.

Q: Find an equation of the tangent line to the curve atthe given point. y= In (x3 - 7) , (2 ,0)

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Q: Find the equation of the tangent line to the curve f(x) = x* - 9x2 + 2 at the point x=1.

A:

Q: Find an equation of the tangent line to the given curve at the specified point. x2 - 1 y = x2 + x +…

A: Note:Equation of tangent passing through a point (x1, y1) at on a curve f(x) is given by(y-y1) =…

Q: Find the equation of the tangent line to the graph of y = x² + 2e* at the point (0, 2).

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

A: The given equation of the curve is y= x3- 3x +1. We have to find the tangent line to the curve y=…

Q: Find an equation for the tangent line to the graph of y – 3xy + x2 +1 = 0 at the point (2, 1).

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Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 2x + 1), (2, 0)

A: NOTE: Refresh your page if you can't see any equations. .   take derivative

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 7x + 1), (7,0) y =

A:

Q: Find the​ x-coordinates of all points on the curve y = (-x^2+4x−3)^3 with a horizontal tangent…

A: We know the slope of the tangent where it is horizontal is 0. we will need to find the derivative of…

Q: Let f(x) = (x - 12) / (2x + 6) Find an equation for the tangent line to the graph of f at x = 2 y =…

A: We find f'(x) first using quotient rule

Q: 1. Find the slope of the line tangent to the graph of f (x) = x³ In (x² – 5x + 7) at x = 2. - Do NOT…

A: We have to find slope to given equation by derivative.

Q: Find the slope of the tangent line on the curve y = x3 - 2x2 – x at x = -2. -6 O -19 O 19 O 6

A:

Q: b. Find the equation of tangent line to the curve of function f (x) at given point: y = In(x² – 4x +…

A: We have to find the slope of tangent first.

Q: Find the slope of the tangent line to the curve x²-3y=4y³ at x=-1

A: Solution: Consider the given equation of the curve is: x2 -3y = 4y3or4y3 = x2  -3y Differentiating…

Q: If fx)=- has a tangent equation y/3-x+2 at x = 1, then the slope of the tangent line of f ( x) at…

A:

Q: Find the slope of the tangent line to the graph at the given point. (x² + y²)² = 4x²y, (1, 1)

A:

Q: Find the slope of the tangent line to the graph at the given point. (x² + y²)² = 4x²y, (1,1)

A: To find slope of tangent of a curve at a given point, we need to find differential at that point

Q: Suppose f (x) = (x 2 − 2x) (3x + 2).What is the equation of the line normal to f(i.e., the line…

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Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 8x + 1), (8, 0)

A:

Q: Find the Equation of the tangent line of "f" at the given point. f(x)=(x-4)(x2+6x-1),(0,4)

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Q: The slope of the tangent to the curve yx + y²x² -6 at (2,1) is

A:

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

A:

Q: Find all points ( x,y) on the graph of f(x) = 3 x² – 4x with tangent lines parallel to the line y=…

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Q: Find an equation of the tangent line to the curve at the given point. y In(x2 -4x + 1), (4, 0) = y =

A: Given,

Q: Find the equation of the tangent line to the curve g(x) = 4x² – 3x + 2 at the point (1, 3).

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where; m is the…

Q: Let f(x) = 2x* + 3x° + 10. Find the equation of the line tangent line to the graph of Y point (1,…

A: Given  f(x) = 2X⁴ +3X³ +10 We need to find the equation of tangent of f(x) at the point (1,15)

Q: find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x2y,   (1,1)

A:

Q: find the equation of the tangent line to the curve f(x) = 2x³+3x² - 5x+3 at the point x= -1

A: Given, y=fx=2x3+3x2-5x+3             ...(1) Point  x=-1

Q: Determine the slope of the tangent line to the curve (x² + y² – 2x)² = 2(x² + y²) at (2, 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)

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Q: Suppose the curve y=f(x) has a tangent line y=4x-5 at x=1. Consider the function g(x)=2f(x)+x+1.…

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Q: Find an equation of the tangent line to the curve at the given point. y = (x2 - 1)/(x2 + x + 1')…

A: Given:         y=(x2−1)(x2+x+1)   for (1,0).