Derivative of y = |x| Graph the derivative of f(x) = |x|. Then graph y = (|x| – 0)/x - 0) = |x|/x. What can you conclude? %3D

Q: 8) Find the critical points then sketch the graph of the function below. Provide the first…

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Q: Derivative of (x-4)2. The exact process of how to get this derivative.

A: Use the chain rule and power rule of derivative.

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

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Q: Using the first and second derivatives, sketch a graph for y=x^4-4x^3+1.

A: The given function is, fx=x4-4x3+1. The first derivative of fx=x4-4x3+1 is, f'x=ddxx4-4x3+1=4x3-12x2…

Q: 2 Example 36: Find the derivative of log, x by ab-initio method. A Example 36: Find the derivative…

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Q: Second Derivative Test 1. Find the first derivative of the function g(x) = 6x° + 18? 270x. %3D | =…

A: Since this is a multiple subpart question, according to the Bartleby answering rule, only first…

Q: *ey² = -x x° + y at (1,0)

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Q: Let f(x) = 4x2 - 2x. (a) Use the definition of derivative and the Procedure/Example box in this…

A: Given that  f(x) = 4x2 - 2x To find : a) f '(x) b) instantaneous rate of change at x = -1 c) Slope…

Q: Even and Odd Functions:-    Show that the derivative of an odd function is even. That is, if f ( -x)…

A: Query-  Show that the derivative of an odd function is even. That is, if f ( -x) = -f (x), then f'…

Q: f(g(x)) = (3x² f (g(x)) = (x)(x² +3)² (За* — 2х + 4)°

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Q: : numbers in the domain of a function that cause its derivative to be zero or undefined.

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Q: An unknown function's derivative is h'(x) = 3x-2 - 6. Using your understanding of the derivative…

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Q: (a) State the First Derivative Test.(b) State the Second Derivative Test.(c) What are the relative…

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Q: Find the derivative of the function. g(x) =   Find the derivative of the function. g(x) = arccos (x)…

A: The given function is gx=arccosxx+7. Find the first derivative g'x of the function. Here we use the…

Q: 1)Describe the purpose of finding the first and second derivatives to sketch a graph of functions.

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Q: Graph of f' The graph of f'(x), the derivative of f is shown. The function f has a local minimum at…

A: Points where f' is zero. f' = 0 ; points are 1, -3. Function increases after x=-3 to x=1, hence,…

Q: Using the First Derivative Test Consider the function         ƒ(x) = 3x4 - 4x3 - 6x2 + 12x + 1.a.…

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Q: Ths function f(x) has derivative f'(x) given by x(x² – 4) (4 – x)(x² + 9) f'(x) = Solve the…

A: we have f'(x)=x(x2-4)(4-x)(x2+9)

Q: Derivatives from graphs Use the graph of f to sketch a graph of f′

A: As per rules supposed to solve only one problem at a time so please post the remaining questions as…

Q: The graph of the function f(x) = x³ – 3x has one local maximum and one local minimum point. Find…

A: Given function is: fx=x3-3x

Q: Finding the Slope of a Tangent Line InExercises 9–14, find the slope of the tangent line tothe graph…

A: Given, The function f(x)=2x2-3  The curve can be differentiated to find the Slope of the tangent.…

Q: The dose-response curve for x grams of a drug is f(x) = 8(x − 1)³ + 8 for x ≥ 0. (a) Make sign…

A: The solution is given below

Q: finding the local mins and maximums and the intervals of increase and decrease and making a sign…

A: Consider the graph of the function:

Q: = - + 3 g (x) 1 3 4x3 2x5

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Q: Slope of a tangent line Let f(x) = 2x 3 - 15x 2 + 24x. For what values of x does the line tangent to…

A: Here,f(x)=2x3-15x2+24x.Now,f'(x)=ddx(2x3-15x2+24x)       =6x2-36x+24

Q: th Determine an expression for f(") (x) (the n' derivative of f) if f (x) = x¯' (Hint: take a few…

A: Let's find.

Q: Describe the purpose of finding the first and second derivatives to sketch a graph of functions.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find all relative extrema of the function. Use the Second-Derivative Test when applicable. (If an…

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Q: Derivative of a tower function Evaluate the derivative of ƒ(x) = x2x.

A: Given function is fx=x2x. Simplify the above function. fx=x2x=e2xlnx    ax=exlna

Q: explain

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Q: Let f) = 4x2 - 2x. (a) Use the definition of derivative and the Procedure/Example box in this…

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Q: Finding Derivatives Implicitly and Explicitly:                  16y^2 - x^2 = 16 Sketch the graph…

A: Given data:   The given expression is: 16y2-x2=16.   The expression for the derivative of the…

Q: First and second derivatives Find ƒ′(x) and ƒ″(x).

A: Given, To find f'(x)=? f''(x)=?

Q: - 6x + 2 on the domain [-7,2]. Find the absolute extrema if they exist, as well as all values of x…

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Q: detinition of derivative, f'(x) = f(x+h)-f(x) lim x+h)-/(x) h-0 h 4. Find the derivative of f(x) =…

A: # we  are entitled to solve one question at a time , please resubmit the other question if you wish…

Q: finding the local mins and maximums and the intervals of increase and decrease and making a sign…

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Q: f(x) = -4x³ – 6x² + 24x + 1 • Use the first derivative test to determine the intervals where the…

A: According to our company guidelines if posted question have multiple parts we can do at most three…

Q: Higher-order derivatives Find ƒ′(x), ƒ″(x), and ƒ‴(x) for thefollowing functions. ƒ(x) = 10ex

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Q: Original limit definition of a derivative Alternate definition of a derivative f(x + h) -f(x) f(x) –…

A: Use the alternate definition of the derivative  f'(c)=limx->cf(x)-f(c)x-c   (a) f(x)=1x  at a=2…

Q: Higher-order derivatives Find ƒ′(x), ƒ″(x), and ƒ‴(x).

A: Given, f(x)=x2(2+x-3)

Q: Derivatives Find the derivative of the following functions for the derivative of√ x. ƒ(x) = 5

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Q: Derivatives Find the derivative of the following functions

A: The given equation is: y=x21-lnx2 To differentiate this, apply the chain rule…

Q: 2. Given f (x) = x-(4 – x) a. Show work for finding derivative. Simplify derivative. b. Find…

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Q: 8) The first derivative of the function f (x) is given by its graph. [ A: 3] f'(x) 3 -5 a) Determine…

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Q: A function  f(x) has a relative extremum at x=π. If the second derivative of the function is…

A: Given              A function  f(x) has a relative extremum at x=π. If the second derivative of the…

Q: The graph of the derivative of a function is given. From this graph determine the intervals in which…

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Q: A function  f(x) has a relative extremum at x=π. If the second derivative of the function is…

A: Here, f''(x)=x-cosx

Q: Function:  f(x) = x/(x2-1)   Use the second derivative to discuss concavity. The second derivative…

A: Given, f(x)=xx2-1we have to use the second derivaive test to discuss concavity.the second derivative…

Q: Let f(x) = 6x² - 3x. (a) Use the definition of derivative and the Procedure/Example box in this…

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Q: Derivatives Find the derivative of the following functions

A: y=3x3ln x-x3