I really need help on how to do this derivative problem?

Consider the function y = 3x5 – 25x3 + 60x + 1. Use the second derivative test to determine whether our function has a relative maximum or minim

Consider the function y = 3x5 – 25x3 + 60x + 1. Use the second derivative test to determine whether our function has a relative maximum or minimum at x = –1.

or:Consider the function y = 3x5 \u2013 25x3 + 60x + 1. Use the second derivative test to determine whether our function has a relative maximum or minimum at x = \u20131.


or:y = 3x^5 \u2013 25x^3 + 60x + 1y' = 15x^4 \u2013 75x^2 + 60y'' = 60x^3 - 150xat x = -1y' = 15 - 75 + 60= 0y'' = -60 - (-150)= 90ergo, it is a stationary point that is concave uptherefor it is a minimum

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