f(x) = (In x)7

Q: Find the indicated derivative. x2 Find f(3)(x) if f'(x) = x² + 4 f(3)(x) :

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Q: Find the local maximum and minimum values of f using both the First and Second Derivative Tests.…

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Q: Find the derivative of the function. 6x3 f(x) = + 8x2 Step 1 The function (x) can be simplified to…

A: The differentiation is given below.

Q: Find the indicated derivative. x2 Find f(3)(x) if f'(x) = x2 + 6 f(3)(x) =

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Q: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ –…

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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: Find the derivative of the function using the definition of derivative. f(x) = 3 + 6x - 7x2 f'(x) =…

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Q: Sketch f(x) = −3(x − 2)(x + 1)(x + 2). Show all your work.

A: f(x) = −3(x − 2)(x + 1)(x + 2). The graph cuts x axis at x=2,-1,2 so these are said to be the…

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: Graph the function. Then use the derivative and algebra to find the location of the critical points…

A: We will use a graphing calculator to graph the function.

Q: Find the open intervals on which the function is increasing or decreasing. (Enter your answers using…

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Consider the given function: Here the objective is to find the interval in which f(x) is increasing…

Q: Evaluate the slope of the function: (Please solve using limits)  f(x) = 1 - x^3…

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

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Q: Alternative Formula for the Derivative f'(x) = lim Z-X f(z) = f(x) Z - X

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Q: 4 – x² f(x) 7+ x2

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Q: Find the equation of the tangent line to the graph of the given function at the given value of x.…

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Q: Use the given function and the given interval to complete parts a and b. f(x) = 2x° - 42x + 270x on…

A: The given function is fx=2x3-42x2+270x  on 4,10.

Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function :

Q: he local maximum and minimum values of the function f(x)=-x-(25/x). using the Second Derivative

A: Given function is fx=−x−25x To find the local maximum and local minimum of the function using the…

Q: Find an equation of the line tangent to the graph of f(x) = - 2x³ at (– 1,2). The equation of the…

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

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Q: f(x)= 5x² -3x X-3 Equation 1 Given that 5 -f (n–1)–3-f(n) f(n+1)=- Equation 2 --- n+2 Use Equation 1…

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Q: Given the function f(x) = 3cos(x/2), find the relative extrema on the interval (pi, 7pi) using the…

A: Given that: f(x)=3.cosx2       in (π, 7π)

Q: Find an equation of the line tangent to the graph of f(x)= 2x° at (2,16). The equation of the…

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Q: Use the Definition of the Derivative to find the derivative of F(x)=square root 2x-5

A: Given,            f(x) =2x - 5

Q: Find the open intervals on which the function is increasing or decreasing. (Enter your answers using…

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Q: (a) find an equation of the tangent line to the graph of the function at the given point, (b) use a…

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

A: Given: f'(x)=2x  At (1,0)

Q: Find the domain of the function. Express the exact answer using interval notation.   f(x)=2 / 3x+8

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: A closed rectangular box is to have a square base and a volume of 60 ft3. Letting x denote the…

A: Given that volume of ractangular box is 60 ft3and square base having side = x height =yTo find :…

Q: 8. Using the second derivative test, find the maximum and minimum points for the function f(x)=x*…

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Q: Evaluate the derivative of the function for the given value of x. y = square root of x  / over…

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Q: Use the given function and the given interval to complete parts a and b. f(x) = - 2x° + 39x – 216x…

A: f(x)=-2x3+39x2-216x    3,10

Q: Find all the values of x where the tangent line is horizontal.   f(x)=2x3+45x2+324x+8

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Q: 2.) State one of the two formulas for finding the derivative of a function f(x) that uses limits.…

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Q: Using the derivative 12x2  find the value of x=2 and x=4

A: ddx(12x^2)=?

Q: Find the absolute extrema of the function f(x) = - x* + 50x2 - 625 on the interval [- 6,6]. Find the…

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Q: Find an equation of the line tangent to the graph of f(x) = 5 – 5x at (3, – 40). The equation of the…

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Q: Use the four-step process to find the slope of the tangent line to the graph of the given function…

A: According to the given information it is required to calculate the slope of tangent using the…

Q: Find the local extreme values of f(x) = 1 + 3x2 − 2x3 using the Second Derivative Test.

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Q: f (x) = V x +3|

A: Given: fx=x+3   Use the first-principles method to calculate the derivative. f'x=limh→0fx+h-fxh

Q: Find a general formula for f.(n) f(x)=(x-7)-1 Talking about formula to find any derivative

A: Given:

Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A: Given: y=x36-x2 To Find: To identify the open intervals on which the given function is increasing or…

Q: Find the derivative of the function. f(x) = 19x2   Thank you for your help!!

A: Derivative of the function ax:If f(x) = ax is a function with a as constant and x as a variable then…

Q: Find the domain of the function. Give your result in interval notation. f(x)=7/1-2e^x

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Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

A: To determine: The slope and the equation of the tangent line to the graph of the function f at the…

Q: Solve the problems using indeterminate form and derivativ

A: Given that:                  1.limx→0πx-12x2+πx(e2πx-1)2.limx→∞4+x2x

Q: Find the x-coordinates of all local maxima using the second derivative test. f(x) = x³ + 4x² + 10 If…

A: The given function is  f(x)=x3+4x2+10 the graph of above function is given below.. as shown in…