Differentiation of Piecewise Functions Describe how you would differentiate a piecewise function. Use your approach to find the first and second derivatives of f(x) = x|x|. Explain why f"(0) does not exist.

Q: Explain how the first derivative of a function determines where the function is increasing and…

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Q: What is an instance where a function doesn’t have the same domain as its derivative? Give an example…

A: The domain of a function f(x) is the set of all the x-values for which the given function is…

Q: Find the derivative of the algebraic function.

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Q: Explain the relationship between a function and the derivative by providing an example.

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Q: How do you find the fifth derivative of a function?

A: To find the derivative we differentiate the function once.  To find the second derivative we…

Q: Use the derivative to explain why the function f(x) = x³ + x³ is a one to one %3D function.

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Q: Find the first and second derivatives of the functions

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: b. f(x) = 3v2x %3D

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Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: R(w) = w? 8w + 20

A: Derivatives are one of  the fundamental tools of the calculus. In mathematics, derivatives are the…

Q: What do the derivatives of a function tell you about the shape of its graph?

A: If the first derivative is positive, then the graph increases. If the first derivative is negative,…

Q: How do you use the second derivative test to analyze concavity of a function?

A: We know that, If the second derivative of the function f(x) is defined on an interval (a,b) and…

Q: 2 Find the derivative of the algebraic function f(v)= v2- v+8 O 112+6v+2v² (v+8)2 O 112- 32v-2v²…

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Q: A thin-walled cone-shaped cup (see figure) is to hold 36t cm of water when full. What dimensions…

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Q: Explain how to find the derivative of the function f(x) = cxn .

A: we have to explain how to find the derivative of the given function f(x)=cxn

Q: -2x sinky sitlecex) -10

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Q: dy in terms of x and y. x'+ y° = 2xy Find dx

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Q: Calculate the derivative of the function f (x) =-5x + 2 and plot the function and its derivative on…

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