Consider the function f(x) = 5x3−3x5 a) Find the intervals where f(x) is increasing or decreasing. b) Find the values of x where f(x) has local maximum and local minimum values(if any). c) Find the intervals of concavity and the x-coordinates of inflection points (if any).

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A: First we draw a graph of sin(x) . Then we get at x=-π/2 sinx  achieve a minimum.

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A: The given function is: f(x)=x2+9x+4 ;      x∈-1.5, 1.5

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Q: At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum value?…

A: Sol:- Suppose that x=c is a critical point of fx then, If f 'x<0 to the left of x=c and f 'x>…

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