maximum point of y x – 2

Q: Find the points where the tangent line to y =2+4 is horizontal (Critical points)

A: We need to find points where the tangent line to y=xx2+4 is horizontal. In other words, we need to…

Q: y = (4x– 1)³

A: Consider the given function: y=4x-13 To find the first derivative with the respect to x:…

Q: Find the critical points, use the second derivative test, and determine the relative maximum and…

A: Answer

Q: Show both the Newton and Leibniz notation for finding the derivative of y = f(x) = 4x5.

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Q: Estimate the instantaneous rate of change of y(x) 4 at the %3D x+ 1 point x = - 2

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Q: By using the second derivative test for functions of two variables, find three positive numbers…

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Q: Find the derivative of the function. %3D y = /x(x – 3)² y' =

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Q: Find the point (xo, yo) on the graph of y = x' + 9x² + 6x – 3, at which the slope of the tangent…

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Q: Find the derivative of the function. y = 3x + V3 3x + V3x y' =

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Q: Find the equation for the y perpendicular trajectories of the curve family. 1. x

A: perpendicular trajectory

Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: What are the maximum and minimum values in application of derivatives?

A: We have to define the maximum and minimum values in application of derivatives.

Q: Find the relative maxima and minima of y by the second derivative test:    y = 2x / 1-2x

A: Given- y=2x1-2x To find- The relative maxima and minima of y by the second derivative test: Concept…

Q: Is this calculus statement true or false: "We can determine that h(x) =x^4 has a minimum at x= 0…

A: Given function is  Then x=0 is critical point of h as h'(0)=0, but also h''(0) =0  Therefore,…

Q: I dont know where to start this problem. It would be great to have some help

A: Given:

Q: Find the relative extrema of f(x) = 8+72x – 9x? using both first and second derivative tests. f (x)…

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Q: Find the point (xo, Yo) on the graph of y = x³ + 3x² + 5x – 3, at which the slope of the tangent…

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Q: Find an equation of the tangent to the curve f(x) = /x+ 7 that has slope %3D 4

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Q: Find the point (xo, yo) on the graph of y = x + 3x² + 4x – 5, at which the slope of the tangent line…

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Q: Find the derivative. y = ecosh(8x) y'(x) =

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Q: Estimate the indicated derivative by any method. y = 4x; estimate. X- 2

A: The given function is y=4x2

Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: Find two positive numbers whose product is 750 and for which the sum of one and 10 times the other…

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Q: Suppose that the first derivative of y = ƒ(x) is y' = 6(x + 1)(x - 2)2. At what points, if any, does…

A: Given the first derivative is: y'=6x+1x-22

Q: Find the point (x0, yo) on the graph of y = x + 9x² + 8x – 5, at which the slope of the tangent line…

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Q: 4. Given is the equation y = a) the critical points, b) classify the maximum and minimum point using…

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Q: Find the derivative of the function. y = In(Icsc(7x)|) y'(x) =

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Q: Find the local extrema of following equation with the second derivative test. y = 3x³ + 2 x³

A: Given: y=3x3+15x5 To Find: The local extrema of the given function using second derivative test.

Q: Find the critical points of y= -2x^2 +4x +3 and apply the Second Derivative Test to find the maximum…

A: Critical point and extreme points

Q: Find the derivative at each critical point and determine the local extreme values. y = x(4 - x²)

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Q: At what point(s) does the curve y=; 3x – 4 have a derivative of -1? O 1) (2.0) 2) (-1,-7) 3)…

A: Given query is to find the value of x where seri is -1.

Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &…

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Q: Find the point (xo, yo) on the graph of y = x + 3x2 + 5x – 3, at which the slope of the tangent line…

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Q: The curve has a gradient function 2x - 3 and passes through (1,-6). Find the value of x when y = 0

A: Clear solution is given.

Q: x2/3 - y2/3 -y=1 ;(1, -1)

A: firstly we find the slope(m) by differentiate w.r.t. x  and then put the slope in equation of tanget…

Q: The derivative of a function at each point is itself. y=kex

A: To find out the derivative of the function.

Q: Q4/ Explain the rule of maximum and minimum using Derivatives with an еxample?

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Q: Find the point (xo, yo) on the graph of y = x + 9x2 + 3x - 4, at which the slope of the tangent line…

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Q: Find equations of the tangent line and normal line tothe curve at the given point.   y= x2 - x4 ,…

A: Given, y=x2-x4, 1, 0

Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

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Q: Use implicit differentiation to calculate the value of derivative y' at the solution point (2, y) =…

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Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

A: The given Revenue function R(x)=23x3-40x2-450x.  Task: To maximize this revenue function.

Q: find any locl maximum and locl minimum values by using first derivative: f(x)=x*-2x?

A: The given function: f(x)=x4-2x2 To find the first derivative of the function: f'(x)=4x3-4x Now, let…

Q: 2. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…

A: Product of two numbers:= 750; Sum of one and 10times the other is minimum;

Q: 4. Use the first and second derivative to find the absolute maximum and minimum, if either exists,…

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Q: Suppose that the first derivative of y = ƒ(x) is y′ = 6(x + 1)(x - 2)2. At what points, if any, does…

A: To determine if the function has any points of maxima, minima or inflection, use second derivative…

Q: Find the point (xo, yo) on the graph of y = x' + 9x² + 7x – 5, at which the slope of the tangent…

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Q: A company has identified that the revenue R for a particular product is given by the equation R(x) =…

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Q: Find the equation s for the perpendicular trajectories of the curve family. 1. x -

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