Can someone help me to find where the function is increasing and decreasing, find the extrema's and determine if the function is concave up or down? The equation is f(x)=3x^5 - 5^4 +1

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Can someone help me to find where the function is increasing and decreasing, find the extrema's and determine if the function is concave up or down? The equation is f(x)=3x^5 - 5^4 +1

Mathematics
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function is decreasing if f'[x] <0 (negative) for open interval function increasing if f'[x}>0 (positive) for open interval \[f'[x] = 15x^4-20x^3\]
its a simple polynomial; the rules are very basic
Cx^n becomes (C*n) x^(n-1)

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Other answers:

3x^5 becomes (3*5) x^(3-1); 15x^4
concave up if f''[x]>0 and concave down if f''[x]<0, inflection point at f''[x]=0
test for etrema by setting f'[x]=0 or f''[x]=0
basically solve \[15x^4-20x^3=0\]
or http://www.wolframalpha.com/input/?i=extrema++f%28x%29%3D3x^5+-+5^4+%2B1
thanks for the help. i was also wondering to find where the function is increasing or decreasing, do i use the critical point?

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