Melody

Stu and Archy

$$\int \frac{f'(x)}{f(x)}dx=ln[f(x)]+c$$

This is an integral that you need to automatically recognise!

I'm sorry there really is no question here.

Dragon, this can be taken a little further

$$a(2*x)=a*2*x=2*a*x=2ax$$

Dragon, please just give them the address of "How do I type in fractions"  

It is in the sticky topics in the botton right of your screen!     

You need to rephrase this so that it makes sense.  

That is a great pic Kitty.   

On the web 2 calc it is called atan

arc tan is the same as inverse tan.

Hey geno, it has to be negative!      LOL

Another way to look at it is this

$$\frac{1}{3}=0.\dot3\\\\
3\times\frac{1}{3}=3\times 0.\dot3\\\\
1=0.\dot 9$$

I think in d of my little pics the acceleration is negative because the slope of the tangents are negative.

and decreasing (getting closer to 0, I suppose that is really increasing, how confusing) because the gradent of the tangents is becoming less steep with time, the curve is concave up.

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In f the acceleration is also negative but the it is increasing - becoming more negative because the gradient is getting steeper - the curve is concave down.