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

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: a(1+x²) Find the derivative 1-x

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Q: Find the derivative of the function using the definition of derivative. f(x) - mx +b f'(x) = State…

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

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Q: Find the derivative of the function using the definition of derivative. g(x) = the square root of 8…

A: Given,g(x) = 8-x → 1Definition of derivativeg'(x) = limh → o g(x+h) - g(x)h → 2

Q: A derivative formulaa. Use the definition of the derivative to determined/dx(ax2 + bx + c), where a,…

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Q: A function f(x) has derivative f'(x)= 3x²+ 18x. The graph of f has an x- intercept at x = -1. Find…

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Q: Using high-accuracy central difference formula, determine the derivative of the function F(x) =…

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Q: Find the derivative of the function using the definition of derivative. f(x) = rx + s f'(x) = State…

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Q: Find the derivative of the function using the definition of derivative. f(x) = x + Vx + 9 f'(x) =…

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

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

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Q: Find the derivative of the function using the definition of derivative. F(x) = x + Vx + 4 1 1+ f'(x)…

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Q: Find the derivative of the function using the definition of derivative. 1 f(x) 2 - 16 x f'(x) = %3D…

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Q: 5 real-life mention of a derivative

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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: Graph of f(x) is provided in the image. Sketch the graph of the derivative function f'(x).

A: In this question, we have the graph for the function f(x). Here, we need to find the graph of its…

Q: Using the definition of a derivative to find the derivative of each function: f(x)=1/(square root…

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Q: Find the derivative of the function using the definition of derivative. g(x) = V1 - x %3D g'(x) =…

A: Given function is gx=1-x. Obtain the derivative by definition.…

Q: Find the derivative of the function. f(x) =  1 x5

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Q: f(x)= (4x² +8x+2)

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

Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable.…

A: The given function is: f(x)=6xx2+1

Q: Find the derivative of the function using the definition of derivative. 1 f(x) = x2 - 16 f'(x) =…

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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: f(x)=√√3x² +6x+2

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Q: Using the first and second derivatives, sketch a graph for y=x^2-4x+10

A: Given equation  y=x2-4x+10 Apply power rule to find first and second derivative f'(x)=2x-4f''(x)=2…

Q: 6) find the 2nd derivative and the graph Y’= 12-x-x^2

A: y'=12-x-x^2 Differentiate with respect to x, we get y"=-2x-1 Graph using desmos,  1) Graph of -2x-1…

Q: Find the derivative of the function using the definition of derivative. 9(x) = /2 - x g'(x) = State…

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Q: Find the derivative of the function f(x)=x3^x f’(x)=

A: From the given problem:   fx=x3x   From the product rule:   (f·g)'=f'·g+f·g'

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

A: To find the higher order derivatives.

Q: e Second Derivative Test to find all relative extrema of g(x) = x³ – 3x² +3. Show your work.

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Q: Computing a derivative Find the derivative of ƒ(x) = -x2 + 6x.

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Q: derivative of  f(x) = x csc(x) - 4cos(x)

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Q: Quotient Rule for the second derivative Assuming the firstand second derivatives of f and g exist at…

A: To Determine: find a formula for d2dx2f(x)g(x) Given: the first and second derivatives of f and g…

Q: (b) Find all relative extrema, using First Derivative Test. Sketch a graph of the function. x2 f(x)…

A: Given fx=x2x-1

Q: Find the derivative of the function using the definition of derivative. 1 f(x) x2 - 36 f'(x) = State…

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

A: Given, fx=x2-7xx+1

Q: e second derivative test, If f(x) - 4x + 2 then f(x) has a local maximum at the point x = 3 -2

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Q: b. TRUE or FALSE. It is appropriate to use the chain rule to find the derivative of the function f…

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Q: g(x)=(2x-x3) h(x)=(8x+5) f(x)=(2x-x3)(8x-5) Find g1(X) and find h1(X) Use product rule to find…

A: Given functions are:

Q: -9) √(x+2)]2

A: The function given is , fx=x2-9x+22. To find the derivative of the function, Apply the product rule,…

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

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Q: The graph of a function is shown together with the tangent line at a point P. 2.

A: Given the graph of the function

Q: Find the derivative of the function f(x) = sqrt of 1 − x^2 using f(x+h)-f(x)/h. State the domain of…

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Q: Finding a Derivative of the function. 23. f(x) = sinh 3x

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Q: Using the First Derivative Test, what are the local extrema for the function g(x) - + 9x- 28x + 1?…

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

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Q: Computing a derivative Consider once again the function f(x) = -16x 2 + 96x

A: Computing a derivative Consider once again the function f(x) = -16x 2 + 96x

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

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