there are many ways to change the equation x3-xlnx - 1 = 0 to the fixed point x =g (x); form one of them such that equation has a root in the interval ( 0,2 )

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Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 64x2 +…

A: Given,

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A: Here we are going to solve only one question and for the remaining question post the question again.…

Q: 12 x+6x?+3x 4. f(x) = 3x

A: We have to find

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A: We know that the equation of tangent line to the curve y=fxat a point x1,y1 and having slope m at…

Q: The line y = -4x + 16 is tangent to the graph of 100 y : x + 6 at the point help (points)

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Q: f(x)= (7x¹-5x-2)

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A: In this question, we will compute the equation of the tangent line of the given curve.

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given query is to find the the function. The derivate is -2x8-x2 Integrate the derivate to obtain…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: The fourth derivative for * 3 points y = x3 - 3x2 + 2 are 6x-6

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Q: 9) Write an equation of the tangent line to the graph of y = 5x2 - 8 at the point where x 0. %3D -3x…

A: Quotient rule of derivative of the function f(x)=u(x)/v(x) is

Q: Write the equation of the tangent line to the graph of  y = (8x2 − 6x + 2)(1 + 2x) at x = 1. Check…

A: the equation of the tangent line to the graph of, y=(8x2−6x+2)(1+2x) at x=1   y=(812−61+2)(1+21)…

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Q: 12 x+6x?+3x 5. f(x) = 3x Vズ-3 6. f(x) = ズー9

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Q: (f°9)(x) if f(x)=2x3 +1 and g(x)=6x +5

A: We have to find the composition of the function then have to find the second order derivative.

Q: The graph of f(x)=2x^3+6x^2−144x+6 has two horizontal tangents. what are the positive and negative…

A: See the details solution in below

Q: 9. at the point (-2,1) Find the equation of the line tangent to y = 2x2 + 1

A: We will find the equation of the line tangent in the following step.

Q: Find the point on the curve y=lnx such that the tangent line pases through the point (2,4). Need to…

A: Given The equation of curve is   y =ln x The tangent line passing through (2,4)

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given: f'(x)=-2x8-x2,    2,7 Integrate the given function to obtain the function f(x). The formula…

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Q: Sketch the curve y = x/(x² – 9). Enumerate the steps in your solution.

A: as per our guidelines, we are supposed to answer only one question if there are multiple questions…

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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: The point (3, 2) is on a curve and at any point, (x, y) on the curve, the tangent line has a slope…

A: Given Slope of tangent line at (x, y) is 2x-3 and Curve passes through (3,2)

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Q: (a) Use the definition of derivative to determine whether the parabola y = 2x2 – 13x + 5, have a…

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Q: Vx-3 6. f(x) = X-9

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Q: 1. f(x)= Vx3 + 2x² + 3

A: topic - second order derivatives

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A: Given problem:- Find the equations of the tangent lines to the graph of y = x2 +6 through the point…

Q: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

A: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

Q: Find the equation of the tangent and normal line of the function f(x) = \sqrt(2x−1)​ at the point…

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Q: Find the slope and an equation of the tangent line to th 3 2 3. f(x) = + 8x + 8; (-1, 21 slope 11…

A: Recall: Point-slope intercept form :  y-y1 =m x-x1 where , 'm=dydx' is the slope and x1,y1 are given…

Q: f(x) = (6x – 7)(2x + 3) %3D

A: Given  f(x)=(6x-7)(2x+3)

Q: Find the derivative. (with solution) f(x)=2x²-3x+5

A: The derivative of a function is given by the expression limh→0f(x+h)-f(x)h. For some standard…

Q: Graph the given parabola by determining the vertices and using first derivative test y = 3x4- 8x +…

A: Given parabola:                              y=3x4-8x3+6x2            Let's find the y-intercept for…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.