anonymous
  • anonymous
Explain derivatives to me in the simplest way possible
Mathematics
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions.

anonymous
  • anonymous
Explain derivatives to me in the simplest way possible
Mathematics
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

Vocaloid
  • Vocaloid
more specifically, the derivative of a function allows us to calculate the slope (rate of change) of non-linear functions
Vocaloid
  • Vocaloid
for example, for the function f(x) = x^2, the derivative is 2x. when x = 1, the derivative tells us that the "slope" (rate of change) is 2, and when x = 2, the slope is 4 this can be represented by drawing a tangent line at the specified x value
dan815
  • dan815
|dw:1443581471172:dw|

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

zepdrix
  • zepdrix
Do you remember back to algebra when you would find the slope of a line like this?|dw:1443581354508:dw|This is a secant line, a line passing through two distinct points. Another way to think of this is that you're calculating `average rate of change`. In calculus we're interested in finding `instantaneous rate of change`, how much is something changing at an exact moment? That's what the derivative does for us :)
anonymous
  • anonymous
using derivatives (generation of linear functions) can be used to model nonlinear functions in the real world that are too complex to solve ; a unique way of applying derivatives
zepdrix
  • zepdrix
The definition of the derivative tells us... that we're letting the space between those two points get smaller and smaller,|dw:1443581597040:dw|
zepdrix
  • zepdrix
taking this idea to the limit, meaning we let our space between the points get really really really small, until the two points are immeasurably close together, is what gives us our "tangent" line.|dw:1443581806796:dw|
dan815
  • dan815
she gone, she was my picture and was like i gotz it , pz
dan815
  • dan815
she saw*
zepdrix
  • zepdrix
And this is what the derivative does for us, it gives us the slope value at particular point, not over some interval, but at a specific moment in time! It has incredible implications. Imagine you're driving on the highway, what's less important is what average speed you went during your trip. more important is how fast you were going at any particular moment, because you certainly don't want to be caught speeding! :O So there is an instance where instantaneous rate of change is awesome sauce.
zepdrix
  • zepdrix
haha ya i see that XD lameeee
dan815
  • dan815
lmao

Looking for something else?

Not the answer you are looking for? Search for more explanations.