The slope of the tangent line to the graph of the function at the point. V The average rate of change of the function at the point. The instantaneous rate of change of the function at the point.

Q: Name a value at which Y=x-LNX has a horizontal tangent line

A: Derivative the given equation with respect to x and then equate it to 0

Q: Find an equation for the tangent line to the graph of the given function at (-3,1). f(x) = x² – 8…

A: Given: The function fx=x2-8and the point -3,1. To find: The equation of tangent line to the graph of…

Q: (a) Find the instantaneous rate of change of (b) Find the slope of the tangent to the graph (c) Find…

A: Given that : The function is f(x) = 3 x2 + 2x +11 and its derivative f ' (x) = 6x + 2.

Q: Find the equation the tangent line and normal line to the graph of f(x) = √x at x = 4. Graph the…

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Q: Find an equation of the tangent line to the graph of f(x) = xe−x at its inflection point.

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Q: Find the slope of the line tangent to the graph of f at P. Determine an equation of the tangent…

A: Please refer the attached image for complete solution.

Q: At the indicated point for the function, find the following. (Round your answers to two decimal…

A: Consider the function, y=x3+1 To calculate the slope of tangent line, Differentiate the given…

Q: Find the equation of the tangent of the function at x=1

A: GivenF(x)=∫x-2-x2cos(t3+1)dt

Q: equation of the tangent line to the curve y = x + cos x at the poir

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Q: iven f(x) = = Find the slope of the curve y = at æ = a + 0 %3D Where does the slope equal –? What…

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Q: 143. The second derivative represents the rate of change of the first derivative.

A: The second derivative of any double differentiable function gives the rate of change of first…

Q: Estimate the slope of the tangent line to the curve at the given point (-4.5,2.455) on the graph to…

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Q: At the indicated point for the function, find the following. (Round your answers to the nearest…

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Q: EXAMPLE 2 The flash unit on a camera operates by storing charge on a capacitor and releasing it…

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Q: Because the derivative of a function represents both the slope of the tangent to the curve and the…

A: For part a).   f'(x) >0                         Answer : a, b, d   For part b).   f'(x) <0…

Q: Find the slope of the tangent line to the graph x/y=cost at the point (-pi,pi

A: Find your answer below

Q: Find the slope of the tangent line to the given curve at the given value of x. Find the equation of…

A: Slope of a tangent line at a point on the curve is equal to the value of the first derivative at…

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = -4x + 1…

A: We need to find the slope of the tangent line to the function f(x)=-4x+1 at (-1, 5). By using slope…

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: y= squareroot of (x^3+3) at (1,2) A) find the slope of the tangent line at the given value B) Find…

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Q: Find the slope of the tangent line to the curve at the point (1, 0).

A: Given, f(x)= x-x³ (1,0)

Q: The slope of the tangent line equation to the graph of the function y = 4/a - 6 a %3D O 0.17 O -0.50…

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Q: On your paper draw the graph of the function f(x)=1/x.  Also draw the tangent line at the point (1,…

A: Please see the white board. The orange color line is the tangent at the point (1, 1)

Q: Find the equation of the tangent line to the graph at the indicated point. f(x)=x^2-1 ; x=8

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Q: Find an equation of the tangent line to the graph of the equation  ln(x) + xey = 1 at the point (1,…

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Q: Find an equation for the tangent line to the graph of the given function at (-2,3). f(x) =x - 1 Find…

A: Topic:- application of derivatives

Q: 90. Find the equation of tangent and normal to the graph of y = at x = 1. (Normal line is a…

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Q: Find an equation for the tangent line to the graph of the given function at (-5,29). f(x)=x² +4 Find…

A: f(x)=x^2+4   (-5,29) slope=m=dy/dx m=dy/dx=d(x^2+4)dx=2x m=2x (-5,29) m=2(-5)=-10

Q: Find the slope of the line tangent to the graph of ƒ(x)

A: Consider the following function: fx=xx+6 Differentiate fx with respect to x:…

Q: At the indicated point for the function, find the following. (Round your answers to the nearest…

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Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = In x°;…

A: Solution: The objective is to find the equation of the line

Q: The slope of a curve at a point P is the slope of the tangent line at P.  Select one: True False

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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: Here we have to find the equation of the tangent line to graph of the function y =f(x)=4x2. Given x…

Q: What is the slope of the tangent line to the curve y=x" at x=1.45 (use 3 decimal places, no space)…

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Q: Estimate the slope of the tangent line to the curve at the given point (-4.5,4.911) on the graph to…

A: The given point is: -4.5, 4.911   Estimate the slope of the tangent at the given point.

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

A: The graph of the given function is:

Q: p(q) = 3q2 + q + 7 (a) Find the instantaneous rate of change of the function at the value q = 10. p…

A: Given : pq = 3q2+q+7

Q: Find an equation of the tangent line to the graph of f at the point (2, f(2)). f(x) = xVx2 + 60 y =

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Q: A boat is sailing at 1 meter per second towards a cliff that rises 281 meters above water level. Let…

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Q: Determining the average rate of change of a function is equivalent to finding the slope of the…

A: See solution below. We used definition of slope

Q: f(x) = √x; x = 1, x = 4. Solve, a. Find the derivative of f at x. That is, find f′(x). b. Find the…

A: fx=x⇒fx=x12 a. Differentiating with respect to x, we get f'x=dx12dx=12·x12-1…

Q: The tangent line to the graph of y=f(x) at the point (7,55) has the equation y=8x−1 (a) Find f′(7)…

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Q: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table…

A: We have to find the rate of change of temperature after an hour.

Q: Pregunta 5 Find the slope of the tangent line to the curve f(x) = 82?+x at x = -1 Answer: The slope…

A: TOPIC -functions and derivatives

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: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table…

A: From the graph the tangent touches the grid at certain points.  Here the temperature is considered…

Q: A roast turkey is taken from an oven when its temperature has reached 185°F and is placed on a table…

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