Find the points on the graph of f where the tangent line is horizontal. f(x) = x3 - 18x2 (x, y) = (  ,  ) (smaller x-value) (x, y) = (  ,  ) (larger x-value)

Q: Use the definition of the derivative to find the slope of the tangent line to the graph of the…

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Q: Find the equation of the tangent and normal line of the function f(x) = 2x – 1 at the point (5, 3).

A: fx=2x-1   First find equation of tangent line of given function  We need to find the slope of…

Q: 10. Find the equation of tangent line to the graph of f(x) = 2x – x³, at the point(-1, –1). %3D

A: Find your answer below

Q: Find the equaiton of the tangent line for the function f(x)=x+3/x-3 at the point (4,7).

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

Q: use the definition of derivative to find the equation of the tangent line to the graph of f(x) = x2…

A: To find the equation of tangent line at the given point.

Q: Find the equation of the tangent line to the given function at the given value. y = 4x3 + x at x =…

A: Given the equation of the function y=4x3+x At x=-1 the value of y on the given curve is…

Q: 3. Determine the slope of the tangent line to the curve f(x) = at (2x + 1)2 x = 1 by using the…

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Q: Use the definition of a derivative to find the equation of the tangent line at the given point.…

A: The equation of the tangent line is  y-7x+2=0

Q: Find an equation of the tangent line to the graph of y = f ( x ) at the point on the graph where x…

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Q: Determine the derivative of f(x) =2x/x2+1 using the quotient rule and find the equation of the…

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Q: Find the slope-intercept form of the equation of the tangent line to the curve defined by x-2 3…

A: Equation of tangent line at the point (a,b) of the curve y=f(x) is f(x)-f(a)=f'(a)x-a

Q: Find the points on the graph of f (x) = 12x − x3 where the tangent line is horizontal.

A: The slope of the tangent line to the function is given by f'(x) . According to sum rule of…

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: the given function is y=2-x. so to find the tangent at a specified point given (-1 , 2 ). it is…

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

A: Solve for the equation

Q: Find all the values of x where the tangent line is horizontal. f(x) = 2x + 45x +324x +4

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Q: Determine the equation of the tangent line and the normal line to the curve f(x)=x3 -3x2 +2x +2 at…

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Q: ction defined by f(x) = x2 – 3x + 4 at (-1, 2). Write

A: we have to find the slope of the line tangent to the graph of the function defined by  f(x) = x2 –…

Q: Find the equation of the tangent line to the graph of f(x) = sin (- -) at the point x = 1. 6

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Q: Find an equation of the tangent line to the graph of f at the given point.

A: The equation of the tangent line to the graph of f at a given point x0,y0 is y-y0=f'(x0,y0)x-x0…

Q: 2. Find the slope of the tangent 2 line to the curve f (x) = - = -1 at x

A: topic - slope of tangent line to curve

Q: Determine equation of tangent line to the curve at given point. a) f (x)= 3x² - 5x +2 at x = -3 %3D

A: Equation of straight line is given by y = mx + c ; where m is the slope c is the y intercept. For…

Q: Find the point f(x)= x3 - 3x2 + x + 4 where the tangent line has slope 10

A:

Q: Obtain the tangent line of the function y= 2x^2 + 3x + 2 at the point (1,7

A: Given: - The function is, y=2x2+3x+2 at the point (1,7) To find: - The equation of the tangent line…

Q: Find the slope of the tangent line to the graph y = x' - 3x +x at the point (2,–2). Hence, find the…

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Q: Find an equation of the tangent line to the graph of f ( x ) = 2x2 - 10 over 2x - 2 at the point on…

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Q: Find the equation of the tangent line to the curve y = x2 at the point (-2, 4). Sketch the graph of…

A: The slope of tangent to a curve at a point a,b is given as, mtangent=dydxa,b The equation of line…

Q: Find the slope of the tangent line of the function g(x)=3-x^2 at the point (2, -1)

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Q: Find the slope of the tangent line to the graph of f(x) = x2 + x at (2, 6).

A: Given :fx = x2+x

Q: 1. Use the limit definition of the derivative to determine the derivative.2. Determine the equation…

A: We have to find derivative using limit definition of derivative and then find tangent line to f(x)…

Q: Find the equation of the tangent line to the graph of the function f(x)=x+5/x-4 at point (0,-5/4)…

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Q: Find an equation of the tangent line to the graph of the function f(x) = x2 + 3x +5 at point (-4,…

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Q: Find the equation of the tangent line to the graph of the function f (x) r+3 at the point (0,-). -4

A: Given: fx=x+3x-4 at the point0, -34

Q: Find the equation of the tangent line to the graph of f(x) = x² – 4 at the point (3, 5). -

A: The equation of the line passing through the point (x1,y1) having slope m is given as (y-y1)…

Q: Find the equation of the tangent and normal line of the function f(x) =√(2x − 1) at the point (5,…

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Q: X where tangent line is horizontal. f(x)=x3-4x2-9x+13

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Q: Find the slope of the tangent line of f (x) = 2x² - 3x + 2 at x = 2 %3D

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Q: Determine the equation of the tangent line to the function f(x) = x square root (5-x^2) at x = 1

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Q: Find the tangent and normal line to the curve at the specified condition.  3x3 - x2 - 12x + 6 at…

A: Suppose we wish to find the equation of the tangent tof(x) = 3x3 − x2 - 12x +6 the points where the…

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

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Q: Find the equation of the tangent line on the function f(x) = arctan (x²) at the point (1,).

A: We can find the equation of tangent line to the curve as below.

Q: Find derivatives of f(x) = {x+- 1 and find the line tangent to it when x = 1

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Q: y = √√2x, x=2 yaxis 17 x-axis

A: Given that y= √(2x) and x= 2 and we find equation of tangent line and normal line at the given…

Q: Find the points on the graph of f(x)=48x−x3 where the tangent line is horizontal.

A: Given:f(x) = 48x – x3.Compute the derivative of the function f(x) as follows.

Q: 1. Use implicit differentiation to find the slope and equation of the tangent line given f(x) = x³…

A: Given function is  f(x) = x^3+y^3-9  According to Bartley guidelines we can attempt only one…

Q: Using the đết of derivative, fin rivative of f(x) = x² + 2x + 2.

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Q: function

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Q: 2 2. f(x) = 5-x², (3,-4)

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Q: #8.) Determine the slope of the tangent at point (1,4) on the graph of f(x) = (9-x²) ²/

A: Topic = Derivative As per guidelines , At a time only one question can be answered. Please repost…

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

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: