Need some serious help

1.) find the critical numbers of f(x)=(x-3)^1/3, find the open intervals where it is increasing or decreasing, and apply the First Derivate Test to Identify all relative extrema

2.) Find the open intervals on which f(x)=sinxcosx+5 is increasing or decreasing and apply the First Derivative Test to identify all relative extrema

3.) Find the points of inflection and identify where the graph of f(x)=x+2cosx is concave up or concave down on the interval [0,2pi]

4.)Find all relative extrema of f(x)=x^2+3x-8

Question

Need some serious help

1.) find the critical numbers of f(x)=(x-3)^1/3, find the open intervals where it is increasing or decreasing, and apply the First Derivate Test to Identify all relative extrema

2.) Find the open intervals on which f(x)=sinxcosx+5 is increasing or decreasing  and apply the First Derivative Test to identify all relative extrema 

3.) Find the points of inflection and identify where the graph of f(x)=x+2cosx is concave up or concave down on the interval [0,2pi]

4.)Find all relative extrema of f(x)=x^2+3x-8

kainui · Answer

Sure, so what's a derivative?

anonymous · Answer

1)  Diff the Function and equate it to 0  and find the solution of x