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newatcalculus
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What is the derivative of 5x^2 + 10x + 5? I'm new at calculus
 3 years ago
 3 years ago
newatcalculus Group Title
What is the derivative of 5x^2 + 10x + 5? I'm new at calculus
 3 years ago
 3 years ago

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AntiMatter Group TitleBest ResponseYou've already chosen the best response.5
here you can apply the power rule
 3 years ago

misterf Group TitleBest ResponseYou've already chosen the best response.0
When you are deriving polynomials, the important thing to remember is that you can derive each piece independently.
 3 years ago

AntiMatter Group TitleBest ResponseYou've already chosen the best response.5
\[ 3x^3 + 5x + 10\] To find the first derivative you can apply the Power Rule For Example, in general, finding the derivative of a function with exponents follows such a pattern: \[x^{n} = n*x^{n1}\] Turn the exponent into a coefficient and then subtract 1 from the exponent for the first derivative
 3 years ago

roshan2004 Group TitleBest ResponseYou've already chosen the best response.1
Differentiate each terms
 3 years ago

AntiMatter Group TitleBest ResponseYou've already chosen the best response.5
so you use that with misterf's idea, and work through each part of the function individually
 3 years ago

misterf Group TitleBest ResponseYou've already chosen the best response.0
very nice, antimatter. you can do that to each x term and then add them back together
 3 years ago

newatcalculus Group TitleBest ResponseYou've already chosen the best response.0
What is a derivative? What does it represent?
 3 years ago

AntiMatter Group TitleBest ResponseYou've already chosen the best response.5
ha, right!
 3 years ago

misterf Group TitleBest ResponseYou've already chosen the best response.0
it is the rate of change of function at a given value.
 3 years ago

roshan2004 Group TitleBest ResponseYou've already chosen the best response.1
Derivative is like a function
 3 years ago

roshan2004 Group TitleBest ResponseYou've already chosen the best response.1
which gives us the rate of change
 3 years ago

shadowfiend Group TitleBest ResponseYou've already chosen the best response.1
In the physical world, for example, if you have a graph that shows the position of something, the derivative of that graph at a given point is the speed of the object at that point.
 3 years ago

misterf Group TitleBest ResponseYou've already chosen the best response.0
say your function represents your distance over time. if you take the derivative of that function, you will get a function for your speed.
 3 years ago

roshan2004 Group TitleBest ResponseYou've already chosen the best response.1
of the function with respect to any independent variable
 3 years ago

shadowfiend Group TitleBest ResponseYou've already chosen the best response.1
Likewise, if you have a graph (or function) describing the speed, the derivative at a given point gives you the acceleration at that point, i.e., the rate at which your speed is changing. Your speed is the rate at which your position is changing. Etc.
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
by the way derive is different from differentiate
 3 years ago

myininaya Group TitleBest ResponseYou've already chosen the best response.0
derive means sort of like to find differentiate means to take the derivative
 3 years ago

shameer Group TitleBest ResponseYou've already chosen the best response.0
i think its very easy and simple method to find derivate
 3 years ago
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