Let f(x) = x^2(ln x − 1) (e).Find the inflection point(s) of the graph of f, if any.

Q: If f(x) = 5x² – 2e*, find f '(x).

A: Given that  f(x) = 5x2 - 2ex  We need to find f'(x) and f"(x) . Now , f(x) = 5x2 - 2ex  So,   f'(x)…

Q: find the derivative  f(x)=x+3+4/x

A: The derivative of the function as follows.

Q: The graph of f(x) is given in the top picture. Sketch the graph of f'(x) in the bottom picture. if…

A: In the given graph f(x), we can see that the graph is increasing from x=-5 to x=0 when graph is…

Q: Calculate derivative F(x) = (7-10x) (7+10x) by expanding or simplifying the function df/dx

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Q: Find f"(x). f(x) = (x? +7) °

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Q: Use derivatives to sketch the graph of f(x) = (x² – 8x + 16)e².

A: Given

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: f(x)=x2+2x-1 g(x)= -500/x, x ≠0 k(x)= |x-2| For each function, do the following: Graph the…

A: a) fx=x2+2x+1 Now, f'x=2x+2 Graph is,

Q: Find the derivative of the function f(x) = 2x3 – 3x by using the definition of the derivative.

A: By using the definition of derivative of a function, we differentiate the given polynomial as in…

Q: Ay シ= %3D

A: A function is a relation that connects each element of a set X to each element of a set Y. Let set X…

Q: If f(x) = x e sinx , find f'(x) . Graph f and  f' on the samescreen and comment.

A: f(x)=xesinxf'(x)=esinx+xesinxcosx

Q: Differentiate the function   f(x) =    5  - 1 /x

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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: The functionf(x) is Find the first derivative in fa Set up a number line with t increasing,…

A: The given function is fx=3x5-5x4. Find the first derivative of the function by the power rule of…

Q: For the function y=inx, find f(e^2)

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

A: