Determine where the graph of the function is increasing, decreasing, concave up, concave down. g(x)=3x^4-12^3. I need help with the steps

Question

anonymous · Answer

@Hero

anonymous · Answer

Help me out. What class are you in? I am assuming a calculus class.

anonymous · Answer

@krzyxbubbles...Also did you mean:
$$g(x)=3x^4-12x^3$$
?

hero · Answer

What you do is try to figure out the steps algebraically, then check your results using a graphing calc.

anonymous · Answer

So no calculus? Boring.... :-)

hero · Answer

When I said, algebraically, I meant computationally. Calculus is nothing but advanced algebra.

anonymous · Answer

Yeah this is for my calculus class!

anonymous · Answer

And yes sorry thats what I meant @Paynesdad

hero · Answer

@krzyxbubbles, I'm surprised that your calculus book doesn't detail the steps for you. Exactly what are you having trouble with regarding this.

anonymous · Answer

Ok so...To find where the curve is increasing and decreasing take the first derivative. The values of x where the first derivative is positive the function is increasing and negative the function is decreasing.

anonymous · Answer

To find the concavity, take the second derivative. When the second derivative is positive the function is concave up and when its negative the function is concave down.

anonymous · Answer

@Paynesdad It's tell me to use these concepts of the derivatives to graph the function. And this is the blank graph given. |dw:1375645683047:dw|