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you just remember this one differentiate = finding derivative = finding the instantaneous slope usually the notation is \[d/dx (fx)\]
or \[dy/dx \]
i want to know about equations, not the actual graph
Integrating = anti derivative = area under the curve so it looks like\[\int\limits f(x) dx\]
double derivative or the second derivative means that you take the derivative of the derivative
so it is as same as saying \[d/dx (d/dx (f(x)))\]
what do these things work out? gradient?
Omg yuki, try typing all of your answer together.
the common notations are\[d^2/dx^2 (f(x))\]
SO WHAT DO THEY WORK OUT?!?!? WHICH ONE IS THE GRADIENT ONE AND ISNT ONE OF THEM FOR THE STATIONARY POINTS?!?!? ANYONE?!?!?! pwetty pwease
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.
ok, is that the for the first or second one tho? :S
Either. A second derivative calculates the slope of a tangent line of the first derivative.
sorry but i dont get it so there isnt a difference?
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.