Question

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

Answer 1

10x+10

Answer 2

here you can apply the power rule

Answer 3

When you are deriving polynomials, the important thing to remember is that you can derive each piece independently.

Answer 4

\[ 3x^3 + 5x + 10\]
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: \[x^{n} = n*x^{n-1}\] Turn the exponent into a coefficient and then subtract 1 from the exponent for the first derivative

Answer 5

Differentiate each terms

Answer 6

so you use that with misterf's idea, and work through each part of the function individually

Answer 7

very nice, antimatter. you can do that to each x term and then add them back together

Answer 8

What is a derivative? What does it represent?

Answer 9

ha, right!

Answer 10

it is the rate of change of function at a given value.

Answer 11

Derivative is like a function

Answer 12

which gives us the rate of change

Answer 13

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.

Answer 14

say your function represents your distance over time. if you take the derivative of that function, you will get a function for your speed.

Answer 15

of the function with respect to any independent variable

Answer 16

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.

Answer 17

10x+10

Answer 18

by the way derive is different from differentiate

Answer 19

derive means sort of like to find
differentiate means to take the derivative

Answer 20

i think its very easy and simple method to find derivate