For the function f(x,y)= x^2 +2y^2 Use the first derivative test to determine if the function is concave or convex.

Q: The second derivative test is used to distinguish between maximum and minimum points by determining…

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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: Determine the interval(s) for which f(x)=96x^2-x^4  is concave up.

A: Given function is: fx=96x2-x4 Differentiating we get, f'x=ddx96x2-x4f'x=962x-4x3f'x=192x-4x3

Q: does y^2+x^2=4 define y as a function of x?

A: A relation from a set X to another set Y is called a function if each element of X is related to…

Q: Let f be a function. Explain, using any method , as to why f(x) and f(x) + 2 have the same…

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Q: y= V> +In(5x) Differentiate the function

A: Given,           y=x2+ln5x

Q: Differentiate the function ƒ(x)=(4x+3/5x−2​)^3.

A: fivenf(x)=(4x+35x-2)3 diffrentiate by division rulef'(x)=3(4x+35x-2)3-1((5x-2)4-(4x+3)5(5x-2)2)