Write the equation of the tangent line to the curve at the indicated point. As a check, graph both the function and the tangent line. y = x3 - 5x2 + 8 at x = 1

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Q: For what value of x will the function ?(?)=−2?^2+12? have a horizontal tangent line?

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Q: Find an equation of the tangent line to the graph at the given point. x?y2 - 9x² – 4y² = 0, (4, 2/3)

A: Given equation of function:

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Q: Write the equation of the line tangent to the graph of y = x3 at the point where x = -1.

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Q: Find the equation of the tangent line to the curve y = at x = 1. Write the answer in slope-intercept…

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Q: 57. y = x4 – 8x² + 2 58. y = x³ + x 59. у 3 .2

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Q: Y=14x4-6x2+1; (-1,9)   find an equation of the tangent line to the graph of the function at the…

A: We know that the equation of tangent at the point (x1,y1) is: y-y1=m(x-x1) where m is the slope of…

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

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Q: Find the values of X where the tangent line is horizontal. +(x)=x"-4x?-8x+9 2.

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 2? y = 2 + 2ex –…

A: To determine the point on the given curve is the tangent line parallel to the line 3x-y=2.…

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Q: Part A: If an equation of the tangent line to the curve y = f(x) at the point where x 2 is y 4x - 5,…

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Q: A) Find an equation of the line tangent to the function of x? + (y-x)2 = 9 atx 1.

A: According to the given information, it is required to fine the equation of tangent.

Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

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Q: use the rules of differentiation to find an equation of the tangent line to the graph y=x^3+x at the…

A: Given query is to find the equation of the tangent on the given point.

Q: Find the equation of the tangent to the graph c

A: This question is taken from the tangent and normal in which we have to find the tangent equation at…

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Q: (a) Find the slope of the curve at point P and write the equation of tangent line at point P. 2x? –…

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Q: Find the slope of the tangent to the curve. (If an answer is undefined, enter UNDEFINED.) x² + 2xy +…

A: calculate w.r.t x

Q: Part A: If an equation of the tangent line to the curve y=f(x) at the point where x= 2 is y 4x-5,…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: The slope of the tangent line to the graph of the function y = 7/a – 4 at (16, 24) is -2.00 0.88…

A: Please refer the image.

Q: Write the equation of the line that is tangent to the function y = xyx and is parallel to y = 2x + 1…

A: Given function,     y = x x4 Parallel line to y=2x+1Genral line is  y = mx+cOn comparing both the…

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A: The function given is  fx=3x2-12x+1 at the point 0,1 . The derivative of the function fx=3x2-12x+1…

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A: To find an equation of the tangent line to the graph at the given point (3, 4). Given that the curve…

Q: find an equation of the tangent line to the graph of the given point. f(×)= √x(x-8), (16,32)

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Q: Use the curve sketching procedure to analyze the function. a. y=x° +x? -20x

A: Y=x3+x2-20x

Q: at the indicated point, find the slope of the tangent to the curve c(x) = 3x^2 - 5 at (3, 22)

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Q: point

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Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A: Given, y= x³-4x²+9 Therefore, dy/dx = 3x²-8x Also given, x=1 Substituting in the above equation we…

Q: Determine all values of x for which the slope of the line tangent to y=x³ - 4x² +9x-1 is 5.

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Q: If f(x) = 4x? – 9x + 5, find the equation of the line tangent at x 2. Preview

A: Given that, The equation of curve is following, y = 4x2 - 9x + 5 we have to find the equation of…

Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A: we will find tangent line to curve f(x) at x=1 for slope we will use power rule of derivative .

Q: Part A: If an equation of the tangent line to the curve y = f(x) at the point where x= 2 is y = 4x -…

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Q: Find an equation of the tangent line to the graph at the given point. x?y² - 9x² – 4y² = 0, (4, 2/3)…

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Q: A) Find an equation of the line tangent to the function of x? + (y - x)? = 9 atx = 1.

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Q: Write the equation of the tangent line to the curve at the indicated point. As a check, graph both…

A: Formula: The equation of a line passing through x1,y1 and having slope m is given by y-y1=mx-x1. The…

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Q: Find an equation of the tangent line to the graph of y? = 4(x - 5) at (6,1).

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²),…

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Q: Find the point on the graph of y = 1/(1 + x2) where the tangent line has the greatest slope, and the…

A: The graph of the function is drawn below.

Q: Find the equation of the tangent line at the point (a,f(a)). Sketch the graph and the tangent line…

A: To find the equation of the tangent line at the point (a,f(a)).

Q: The equation of a curve is given by f(x) = (6x² − 7) (2x + 6). What is the slope of the tangent line…

A: The slope of tangent line on a curve f(x) that touches the curve at x = c is m = f'(c).

Q: Determine an equation of the line tangent to the graph o

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Q: f(x)=. (x–1) %3D (x +2)' 3

A: To find the horizontal tangent of the given by, we have to equate the first derivative of f(x) equal…

Q: Find the equation of the tangent to the graph at the indicated point. f(x) = x2 - 6x; a = -1 y = 4x…

A: Let's find.

Q: Find the equation, in slope-intercept form, of the tangent line to the curve defined by the given…

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Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A: Given function is fx=2x2-4x+5. To find the equation of the tangent line in slope intercept form to…