Sketch the graph of the following functions f(x)= csc 4x f(x) = - 2csc 1/3x

Q: Sketch the graph of the function f(x) = ln 2x  and state its domain.

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given point.…

A: Given,f(x)= -2x +5 and the point (1-,7)

Q: need help solving this please

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Q: Use the First Derivative Test to find any relative extrema of the function. (a) g(x) = 2x³ – 18x

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Q: Given function: y = x* – 4x3 +2

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Q: Sketch the graph of the function defined by the formula 0 , x<-1 f(x) = |1– x² ,-1<x <1 x 2 1

A: Given:     To determine: the graph of f(x)

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

A: To Determine: Find the equation for the function f that has given derivative and whose graph is…

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

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Q: Graph the function and the indicated tangent line. Graph f(x) = -4x2 and the tangent line to the…

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Q: Sketch the graph of the function f(x)=-x2 +4x-1. Find the equation of the line that is tangent to…

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Q: Find f'(x) using the definition of the derivative. 1. f(x)=x^3-1

A: We have given f(x) = x3-1 So using definition of derivative  f'(x) = limh→0fx+h-fxh So f(x+h) =…

Q: Sketch the graph of the function. Jx+ 3, xs -5 g(x) 4, x > -5

A: Given,          The function is gx=x+3x≤-512x-4x&gt;-5

Q: Which of the following is an equation of the line tangent to the graph of f(x)=x^3-x at the point…

A: Calculus Question

Q: Sketch the graph of the function y=ln(x+1)−1.

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Q: Use the guidlines to sketch the graph of the function  y=1/x + ln x

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Q: The graph of f(x) passes through the point (-1,4), The slope of the line tangent to the graph at the…

A: The slope of the tangent of the function at a point is given by the derivative of the function at…

Q: The function f is given by f(x) = -1-e-. What is the equation of the line tangent to the graph of f…

A: Given data: The given function is f(x)= -1- e-x. The slope of the tangent line is f'(x)=5. The…

Q: Find the slope of the line tangent to the graph of each function at the given point. f(x) = x3 - 2x;…

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Q: Find the points where the graph of the function has horizontal tangents. f(x) = 3x^2 + 7x - 5

A: We have to find the points where the graph of the function has horizontal tangents.…

Q: Using the criterion of the first and second derivatives, find the graph of the function a) F(x) = x³…

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

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Q: Use derivatives to sketch the graph of f(x) = (x² – 8x + 16)e².

A: Given

Q: sketch the graphof the function and state its domain. f (x) = 4 ln(x − 2) + 1

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist?

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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)=3-2lnx;…

A: To determine equation of tangent line at given point.

Q: Graph the first and second derivatives of the given function: f(x)= x3+ 2 x2 - 3x

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Q: Use the first derivative test to determine the relative extreme values of the function. below. a.…

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Q: Find the slope of the graph of the function at the given point. F(x) = 4x5 + 5x - sin(x), (0, 0)…

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Q: Find the derivative. g(x) = (4x – 2)° – Vr + 8

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Q: Find the higher-order derivative. F'(x) - 7x* - 8x? + 5x f"(x) =

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Q: Sketch the graph of the derivative for function shown.

A: Plot the derivative for -∞&lt;x&lt;0. The function f(x) is constant in the interval -∞&lt;x&lt;0 so…

Q: Find the domain of the function: f(x) = ln(4 - x)

A: we have to find the domain of the given function. f(x)=ln(4-x)

Q: Given f(x) = –3x² – x + 15, find f' (-3) using the definition of a derivative. Provide your answer…

A: f(x) = -3x2 -x +15 find f-1(-3)

Q: 1+x y = 3-x2 ||

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

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

A: It is given that,f'x=-2x8-x2     and point 2,9 We have to find the function.

Q: Graph f(x) x'- 3x-9x + 2. 3r2

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Q: Given f(x) = 2, find f' (1) using the definition of a derivative. x-2 Provide your answer below:…

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Q: Find the slope of the graph of the function at the given point.                        f(x) = 27/x3…

A: Given: fx=27x3Point3,1

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

A: Here we use the process of integration and use the given point to calculate the constant of…

Q: Find the function of the derivative f'(x)= -12x+5 and with the graph passing through (-2,5)

A: Given, f'(x)= -12x+5

Q: The graph of  f(x)  and a line tangent to the curve at  x = 4  are shown. If  g(x) = sqrt(f(x))…

A: In the question it is asked to calculate the value of g'(4) for g(x)=f(x). for the graph given…

Q: If f (x)= x2 - 4x, at which point on the graph f (x) is the tangent line horizontal

A: topic - slope of tangent line

Q: If f(x) = 4x2 – x³, find f'(x), f"(x), f'(x), and f(4)(x). f'(x) = f"(x) = f""(x) = f(4) (x) = Graph…

A: Given, the function f(x) = 4x2 – x3, then we have to find the f’(x), f’’(x), f’’’(x) and f4(x) and…

Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: The graph f(x) has horizontal tangents when x = 3 f'(x) 2+ 2 -1 0

A: Horizontal tangents have slope = 0. ie slope of tangent = f'(x)

Q: Sketch the graph of the function f(x) = ln x − 4 and state its domain.

A: Consider the function: fx=lnx-4 To sketch the graph of the function:

Q: State the domain of the function and the domain of the derivative. f(x)= 6/2x^2 f'(x)= Domain of…

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