Use the information in the graph of f below. 3 2+ (-1,-) m = 2 1 (2, 1) -3 -2 1 2 3 m = -2- -37 (a) What is the slope of the tangent line to the graph of f- at the point -1 )? (b) What is the slope of the tangent line to the graph of f- at the point (1, 2)?

Q: Let f(x) = 1/(x-5). Find the derivative f' of f. Find an equation of the tangent line to the curve…

A: This questions is related to differentiation,  We will solve it using given information.

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Q: What is the derivative of a function ƒ? How is its domain related to the domain of ƒ? Give examples.

A: Define the derivative of the function f.

Q: Use the information in the graph of f below. y 3- 2 m = 2 (-1,-4) (2, 1) -3 -2 1 2 3 -2 -3 (a) What…

A: (a) The given graph is From the graph, f'(-1) = 1/2 , f'(2) = 2 Also f-1(-1/2) =-1  &  f-1(1)=2…

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A: Given: y=ex for given curve equation of tangent at pointx,y is parallel to line y=2x, which means…

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A: Given that a graph  and  find an equation of the  tangent line at point (-2,-8/5).

Q: calculus Find the equation of the tangent line to the graph of f(x) = 4 - x2 at point (1,3).

A: given   f(x) = 4 - x2  point ( 1 , 3 )

Q: Apply the product rule to find the tangent line, in slope-intercept form, of y = f(x) at x=1. f(x) =…

A: Let the function is f(x)=(5x2-7)(x-1) The value of f(x) at x = 1 is  y=f(1)=(5-7)(0)=0⇒(x, y)=(1,0)…

Q: Does the graph of -1, х 0 have a vertical tangent line at the origin? Give reasons for your answer.

A: Answer: No. The given graph of the function cannot have a vertical tangent line.

Q: Consider the following equation and point. f(x) = 3x2 − 6,    (−1, −3) Find an equation of the…

A: Given function is: f(x)=3x2-6 and we need to find tangent to f(x) at (-1,-3)

Q: Find an equation for the tangent line to the curve at the given point. f(x) = -3el*, (0,-3) Show…

A: equation of the tangent = ?

Q: Let g be a function that is defined for all x, x # 2, such that g(3) = 4 and the derivative of g is…

A: Here, g(3)=4 & g'(x)=x2-16x-2, x≠2

Q: Find an equation of the tangent line to the curve at the given point. xy + x?y? = 12, (3, 1)…

A: Equation of tangent line to the curve: Curve is :                      xy+x2y2=12 at (3,1)…

Q: Assume that functions f and g are differentiable with f( - 5) = 2, f'(- 5) = 4, g(- 5) = 3, and g'(-…

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Q: Find an equation for the tangent line to y = g(x) at the point (2, g(2)). Write your result in…

A: From graph we have g(2)=4 and therefore we compute the tangent of the graph y=g(x) at the point…

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Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

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Q: Find all values of x (if any) where the tangent line to the graph of the function is horizontal. y…

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Q: 3. Find the equation of tangent line of the function f(x) = at the point %3D (6, 4).

A: f(x)=8x-2, at (6,4)Conceptpoint slope form is y-y1=m(x-x1)m is f'(x) at the given point

Q: Assume that functions f and g are differentiable with f(-5)= 5, f'(-5)= - 3, g(-5)= -4, and g'(-5)=…

A: The detailed solution is as follows below:

Q: Sketch the graph of the function f(x) = √x and label the point (4, 2) on the graph. (a) Find the…

A: Function:                      f(x)=x                     Labelling the point= (4, 2) To determine:…

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Q: (х - 1)(х - 4) 38. у- (х - 2х - 3)

A:

Q: Consider the following equation and point. f(x) = - x?; (-2, –1) Find an equation of the tangent…

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Q: the graph at the given point. (y − 3)2 = 4(x − 5),    (9, 7)

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Q: Find the equations of the tangent line and normal lines to the graph of the function f(x)=−2sin x…

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Q: Consider the following equation and point. f(x) = √x+8,    (8, 4) Find an equation of the tangent…

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Q: Find the slope of the graph of the function at the given point. y = x-1 y 2.0| 1.5 6 7 1.0 0.5 0.5…

A: See the details solution in below

Q: The slope of the tangent line equation to the graph of the function y = 5/x-9 at (81,36) i

A: Given:y=5x-9  at 81,36Equation of tangent line:y-y1=mx-x1

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A: Here, the given equation of the curve is: f(x)=2x+3x To find the slope and the equation of the…

Q: Does the graph of -1, x0 have a vertical tangent line at the origin? Give reasons for your answer.

A: Given function is fx=-1, x<0   0, x=0   1, x>0.

Q: Find an equation of the tangent line to the graph at the given point. Then use a graphing utility to…

A: Find an equation of the tangent line to the graph at the given point. Then use a graphing utility to…

Q: Write an equation of the tangent line to the curve f (x) = 3/ Va + 8x at the point (4, f (4)). %3D…

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 8,  (2, 20)

A: Given, The equation of a curve is y = 2x3 − x2 + 8 at  point (2, 20)

Q: differentiate the functions. Then find an equation of the tangent line at the indicated point on the…

A: Given

Q: Find the equation of the tangent plane to the graph of f(x, y) = 2xy² + 2x³y? at the point (-1,2).…

A: To find the equation of a tangent plane.

Q: Find an equation of the line tangent to the graph of f(x) = - 1 – 3x at (– 3, – 28). The equation of…

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Q: Find an equation of the tangent line to the curve at the given point. y = (x+1)/(x-8) ,    (7, −8)

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Q: Find the slope of the given point of the equation of the tangent line y=x^2-5 P(2,-1)

A: Slope of the tangent is obtained by dy/dx

Q: Find an equation of the tangent line to the graph of f(x) = -3-3x at (-3,- 30). %3! The equation of…

A: The given equations    ,  f(x)=-3-3x2 we have to find the tangent at (-3,-30) another , f(x)=2x3 at…

Q: Find the equation of the tangent line to the graph of the given function at the point with the…

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Q: find the slope of the function at given point. use the derivative feature of a graphing utility to…

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Q: Uncover the function f shown that the slope of the tangent line to the chart of f at any point (x,…

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Q: Find the equation of the tangent line to the graph of the given function at the point with the…

A: The given function is: f(x)=x3  Given point is: x = -2 f(-2) = -8

Q: how do you find the  (a). equation of the scant line through the points wehre x has the given…

A: The given equation is f(x)=x^2+2x.

Q: Consider the following equation and point. f(x) = 3x - 4, (-1, -1) Find an equation of the tangent…

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Q: Find an equation of the tangent line to the graph of the function at the given point. 6x (-3, 9)…

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Q: Let f(-3) = -7 and f'(-3) = -2. Then the equation of the tangent line to the graph of y = f(x) at x…

A: To find the equation of the tangent line