secant slope from the left: secant slope from the right: Ay Ду f(x) f(x) Ax Дх -3.5 -2.5 -3.05 -2.95 -3.005 -2.995

Q: The average surcharge for non-account holders who use an ATM can be modeled as fix) = 0.004x3 -…

A: (a) To find the derivative of the given function f as follows.

Q: Using the limit definition find the derivative of the function f(x)=3x+2.

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Q: 4 find f'(3). x2 If f(x) =

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Q: Sction 3.4-The product rule and Quotient rule Find the derivative of the function g(x)= ez 2+ 5x…

A: the given function is: g(x)=ex2+5x we have to find the derivative of the given function.

Q: f(x) = 7.5x2 - x + 4.7 (a) Find the derivative of the function using the definition of derivative.…

A: The given function is f(x)=7.5x2-x+4.7A) Here Differentiate above function w.r.t.x…

Q: Derivative of (x-4)2. An over simplified solution would be helpful.

A:

Q: Plot the function f(x) x-2x2-10sin2x- e0.9x and its derivative for -2sx54 in one figure. Plot the…

A: Given,fx=x3-2x2-10sin2x-e0.9xf'x=3x2-4x-20sinxcosx-e0.9x· 0.9

Q: Determine all maximum and minimum turning points of the function: y= 3x* + &r' -90 Find also, the…

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Q: When solving a first derivative test, a student calculates the following information. Help them list…

A: x=-3 and x=8 are critical points mean on these points there are local extremas. Given that:…

Q: UESTION 4 Write the function in slope-intercept form whose graph satisfies the given conditions.…

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Q: Explain how to graph a function given the graph of the derivative function. Note that the answer is…

A: Perhaps the most obvious are the extreme. Because we know that the tangent line is always horizontal…

Q: 1 f(x) = (2x³ + 6) ³

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Q: turkey temperatu temperature is 75°F. After 10 minutes, the temperature of the turkey is 172°F, and…

A: Follow the procedure given below.

Q: Gradient -1/4 which passes through point

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Q: can you show me how I would find the domain of the derivative? What’s the difference between the…

A: We need to find Domain of derivative.

Q: Explain in a sentence what the partial derivative of f with respect to x represents in the context…

A:

Q: Explain your understanding of the connection between the derivative of a constant and the slope of…

A: We need to establish a relationship between the derivative of a constant and the slope of the…

Q: A farmer wants to fence in 800 ?t2 of land in rectangular plot to be used for different types of…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: y = 7^(-6/x) what’s the derivative?

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Q: On [-8,0] the value of the first derivative of f(x)= x^2 is positive. True or False?

A: The given function is fx=2x2. Obtain the first derivative of the function as follows:…

Q: Find the relative extrema of the function g(x) = x sech x. Use a graphing utility to confirm your…

A:

Q: Graph of derivative of function, f'(x), is given. y= f'(x) 1 5 7 8

A: We know that when f'(x) goes from negative to positive then f(x) will be decreasing and then…

Q: Find the average rate of change of f(x) = 5x - 6 on the interval [3, a]. Your answer will be an…

A: Given: -

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Find a function f that has the derivative f′(x) and whose graph passes through the given point.…

A: It is given that the derivative of the function f'x=4.

Q: Puestion 4. Using the definition of the derivative, show that f(x) = ifferentiable at x = -3. |2x+6|…

A: we have to show

Q: Complete detailed solution. What is the derivative of 3 f(x)=4x² + -5 √√x

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Q: (5x²+4)

A: ddx15x2+43

Q: f(x)= (4x² +8x+2)

A: We can find the derivative using chain rule as below.

Q: Using the 2nd Derivative Test, find all relative extrema of f (x) = 2x - 3x-4. Justify your answers.

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Q: What’s the derivative ? f(x) = xe^-x3

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Q: Find the slope of f(x) = -x – 1 at (4, – 5). Answer E Keypad How to enter your answer Keyboard…

A: Given that: f(x)=-x-1and point=(4,-5)

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Find the derivative of the function. f(x) = ex2 + 5

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Q: the slope of the graph of the function at the given point. Use the derivative feature of a graphing…

A: Explanation and solutions is given below.....

Q: find the instantaneous rate of change of f(x)=x^2+3x at x=3 using the formula for definition of a…

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Q: 3. 2.

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Q: Find the derivative Of the fundtion using the definition of derivative. State the domain of the…

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Q: Locate the relative extremum and point of inflection. Use a graphing utility to confirm your…

A: Consider the given function, y=2x-ln2x find the first derivative of the function,…

Q: In Exercises 31–38, find the slope of the graph of the function at the indicated point. Use the…

A:

Q: Find the average rate of change of f(x) 5x-9 on the interval 5, b. Your answer will be an expression…

A: NOTE: Refresh your page if you can't see any equations. . take x=5 . take x=b

Q: Can you please help me step by step with this problem?

A: We can see, that the graph of the function given is a straight line and the slope of the line is…

Q: Using the linearization of f(x) = Arcsecr approximate the value of Arcsec1.7

A:

Q: The cost of producing x ounces of gold from a new gold mine is C = f(x) dollars. (a) What is the…

A: A. Option D is the correct answer. Its units is ounces per dollar.

Q: Togaritnmic difterenti ation f(X) = (4x3+1) (x? +5)3 to find derivative f'(x) = (20 Use %3D

A: f(x)=(4x3+1)(x2+5)3

Q: Do you use x-coordinates or y-coordinates when describing where functions increase, decrease, or are…

A: Whether to check x or y coordinates, when describing where functions increase, decrease or are…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.