i am getting confused with integrating and differentiating :S
how can i tell the difference and what do they find?
and what is a second derivative ?

Question

yuki · Answer

you just remember this one
differentiate = finding derivative = finding the instantaneous slope

usually the notation is $$d/dx (fx)$$

yuki · Answer

or

$$dy/dx $$

yuki · Answer

or

yuki · Answer

y'

anonymous · Answer

i want to know about equations, not the actual graph

yuki · Answer

Integrating = anti derivative = area under the curve

so it looks like$$\int\limits f(x) dx$$

yuki · Answer

double derivative or the second derivative means that 
you take the derivative of the derivative

yuki · Answer

so it is as same as saying

$$d/dx (d/dx (f(x)))$$

anonymous · Answer

what do these things work out?
gradient?

anonymous · Answer

Omg yuki, try typing all of your answer together.

yuki · Answer

the common notations are$$d^2/dx^2 (f(x))$$

yuki · Answer

or 

y"

anonymous · Answer

SO WHAT DO THEY WORK OUT?!?!?
WHICH ONE IS THE GRADIENT ONE AND ISNT ONE OF THEM FOR THE STATIONARY POINTS?!?!?

ANYONE?!?!?!
pwetty pwease

anonymous · Answer

They 'work out' the slope.  The derivative of an equation at a point gives you the slope of the tangent line at that point.  They are also used to calculate the area under a curve.

anonymous · Answer

ok, is that the for the first or second one tho? :S

anonymous · Answer

Either.  A second derivative calculates the slope of a tangent line of the first derivative.

anonymous · Answer

sorry but i dont get it
so there isnt a difference?

anonymous · Answer

The second derivative is the derivative of the first derivative.  The equations are different, but any derivative - 1st, 2nd, 3rd, Nth, is determining the slope of the tangent line of the (n-1)th derivative.