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

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

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

AntiMatter
 3 years ago
Best 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

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

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

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

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

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

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

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

shadowfiend
 3 years ago
Best ResponseYou've already chosen the best response.1In 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.

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

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

shadowfiend
 3 years ago
Best ResponseYou've already chosen the best response.1Likewise, 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.

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

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

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