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 ?

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- yuki

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

- yuki

or
\[dy/dx \]

- yuki

or

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## More answers

- yuki

y'

- anonymous

i want to know about equations, not the actual graph

- yuki

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

- yuki

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

- yuki

so it is as same as saying
\[d/dx (d/dx (f(x)))\]

- anonymous

what do these things work out?
gradient?

- anonymous

Omg yuki, try typing all of your answer together.

- yuki

the common notations are\[d^2/dx^2 (f(x))\]

- yuki

or
y"

- anonymous

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

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

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

- anonymous

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

- anonymous

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

- anonymous

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.

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