anonymous
  • anonymous
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 ?
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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yuki
  • yuki
you just remember this one differentiate = finding derivative = finding the instantaneous slope usually the notation is \[d/dx (fx)\]
yuki
  • yuki
or \[dy/dx \]
yuki
  • yuki
or

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yuki
  • yuki
y'
anonymous
  • anonymous
i want to know about equations, not the actual graph
yuki
  • yuki
Integrating = anti derivative = area under the curve so it looks like\[\int\limits f(x) dx\]
yuki
  • yuki
double derivative or the second derivative means that you take the derivative of the derivative
yuki
  • yuki
so it is as same as saying \[d/dx (d/dx (f(x)))\]
anonymous
  • anonymous
what do these things work out? gradient?
anonymous
  • anonymous
Omg yuki, try typing all of your answer together.
yuki
  • yuki
the common notations are\[d^2/dx^2 (f(x))\]
yuki
  • yuki
or y"
anonymous
  • 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
  • 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
  • anonymous
ok, is that the for the first or second one tho? :S
anonymous
  • anonymous
Either. A second derivative calculates the slope of a tangent line of the first derivative.
anonymous
  • anonymous
sorry but i dont get it so there isnt a difference?
anonymous
  • 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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