= x-location(s) of any horizontal tangents to the graph of f(x)= %3D

Q: (a) Find the slope of the tangent line to the function y 3+sec (x) at 1-sec (x) X = -. 4

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the slope of the tangent line to the function f ( x ) = x ^x at x=2.  Round your answer to the…

A: Given,         The slope of the tangent line to the function fx=xx at x=2.

Q: A factory’s weekly production costs y and its weekly production quantity x are related by the…

A:

Q: 1. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF THE FUNCTION f(x) = 5 – x² AT (3,–4).

A: f(x)=5-x2 To find the slope of tangent, we can use two alternatives (1) Direct derivative (2)…

Q: Find the derivative. Simplify where possible. y = sech - 1 ( e -x )

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Q: Using the derivatives of In x, tell in a complete sentence why Inr is increasing, and why its graph…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Suppose the function fis differentiable everywhere, and the graph of y - f(x) always lies above the…

A: given: the function f is differentiable everywhere and the graph of y=f(x) always lies above the x…

Q: Find the equation of the line that is tangent to the graph of the function f(x) = ln(8x + 6) at the…

A:

Q: find the slope of the tangent to the curve of f(x)= 1/square root of x at the point where x=1/4

A: Topic:- application of derivatives

Q: Find the slope-intercept equation of the tangent line to the graph of f(x) =√x at (1, 1).

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Q: What is the instantaneous rate of change of the graph of y = = cos x when x= 2n?

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Q: For f(x)=x5​, the instantaneous rate of change is known to be 5 at x=−1. Find the equation of the…

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Q: Find an equation of the tangent to the graph of y = f '(x) at x = −1 when f(x) = x3 + 6x2 + 2x.

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Q: Find the slope of the line tangent to the graph of f(x)= tan(x) at x=pi/6

A: Given function - f(x) = tanx           .............(1)Let the equation of the tangent line be - y =…

Q: Find the slope of the tangent to the graph of fAx) = x + 3x + x at its point of inflection. O a) -3…

A: SOLUTION-

Q: 14. Find the equation of the line tangent to the graph of f(x) = 2x3-x + 1 at x = -1. %3D

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Q: Let f(x) = 6x2 Зх. (a) Find the instantaneous rate of change of f(x) at x = -1. (b) Find the slope…

A: Given the functionf(x)=6x2−3x

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

A: Explanation: To find the slope of tangent line, we will find the first derivative of given function…

Q: Find all x-values where the tangent line to the graph of the function p(x)=x(2x-5)^4 will be…

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Q: For f(x)=x3​, the instantaneous rate of change is known to be 3 at x=−1. Find the equation of the…

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Q: find the horizontal and vertical tangent lines for the implicitly defined function: x^2/4+y^2=1

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Q: Find the derivative of the function y = x arcsec x

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Q: Let f(x) = 6 - 3x + 5x2. (a) Find f'(a) (b) What is the instantaneous rate of change of f when x =…

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Q: 4) Estimate the instantaneous rate of change of function f(x) = x + 5x' +2 at x = -3 b) Determine…

A: Given that fx=x4+5x3+2First, we will find the instantaneous rate of change of the functionat x=-3.

Q: Find the equation of the line tangent to the graph of f(x)=−3cos(x) at x=−π3

A: As we know that: The first derivative of the function is equal to the slope of the tangent line to…

Q: Find the slope of the line tangent to f(x) = tan x at x=-. 4

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Q: 1. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF THE FUNCTION f(x) = x2 + x - 1 AT (-2, 1). %3D

A: As per our guidelines, we are providing the solution of question number 1 only. Please repost the…

Q: Find the tangent line to the graph y = log„(x) at x = .

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Q: For f(x)=x^4, the instantaneous rate of change is known to be -4 at x=-1. Find the equation of the…

A: Given that: *The function f(x) is f(x)=x4. *The instantaneous rate of change is the slope of the…

Q: Suppose the derivative of the function y = ƒ(x) is y′ = (x - 1) 2(x - 2)(x - 4). At what points, if…

A: It is given that, the function f(x) has the derivative

Q: Find all horizontal and vertical tangent lines for the implicity defined function x^2/4+y^2=1?

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Q: Find the equation of the tangent line to the graph of the function f(x)=(x+3)/(x−4) at the point…

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Q: The size of a population of butterflies is given by the function. p(t)= 6000/(1+49(0.6)t) where t…

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Q: A line with slope m passes through the origin and is tangent to the graph of y = ln x. What is the…

A: Let the point of contact is (h,ln(h)) We find the slope of the tangent using dy/dx

Q: 1) Find the slope of the tangent line to the graph of f (x) = x3 + x at x = 3.

A: Application of derivative problem

Q: 3. For the function g(x) = x' - 2x -1, at what tangent point is the instantaneous rate of change…

A: Instantaneous rate of change of f(x) at x=a is given by f'(a), where f'(x) is the first order…

Q: 7. Determine the equation of the tangent to the function E-2 f(x)=- at x= 1.

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Q: 7. Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. Show all steps

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Q: Find the equation of the line tangent to the graph of y = (x2 - x) ln (8x) at x = 2

A: Topic = Derivative

Q: Find the slope of the tangent to the curve y2 ln(x) + x2y = 7 at (1, 7)

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Q: 8) Find the equation of the line tangent to the graph of f(x) = x – :- at the point where x = 1.

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Q: Find the equation of the tangent line to the graph of f(x) = 6x ln(x + 4) at x = 4. y =

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Q: For f(x)=x^3​, the instantaneous rate of change is known to be 27  at x=3. Find the equation of…

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Q: Determine the points at which the graph of the function has a horizontal tangent line. x² f(x) x-3…

A: Given:      fx=x2x-3 A point on a function will have a horizontal tangent line where the first…

Q: 3 Find the slope of the tangent to the graph of f(x) = /x+5 at the point where x= 4.

A:

Q: Use a graphing utility (like Geogebra) to find the instantaneous rate of change of: f(x) = 2x at x=…

A: The instantaneous rate of change of a function is the value of slope of tangent at aa particular…

Q: Find the slope of the line tangent to the graph of f(x) = -x-1 at x = -3. Provide your answer below:…

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Q: Find the equation of the tangent line to the graph f (x) = x^3 ln x at the point (1, 0)

A: Tangent line equation.

Q: To three decimal places, the slope of the tangent to the curve f (x) = log, x , at x = 2 is:

A: First we have to find the differential equation for slope of this function.

Q: What do you look for when you need to match the graph of a function with the graph of its…

A: Observe the behavior of graph as the value of x increases.