SOLUTION: Please help me solve this derivative!: f(x)=(2x^2)+4x, the answer is suppose to be 4x+4

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Question 181608: Please help me solve this derivative!:
f(x)=(2x^2)+4x, the answer is suppose to be 4x+4

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

Please help me solve this derivative!:
f%28x%29=2x%5E2%2B4x, the answer is suppose to be 4x+4

Write 4x as 4x%5E1

Then for each term use this rule:

To find the derivative of a monomial in x:

1. Multiply the exponent by the coefficient
2. Add -1 to the exponent.

To find the derivative of the first term 2x%5E2

1. Multiply the exponent 2 by the coefficient 2 getting 4
2. Add -1 to the exponent, getting 1 for the exponent,

So for the derivative of the first term we have 4x%5E1 or just 4x

To find the derivative of the second term 4x%5E1

1. Multiply the exponent 1 by the coefficient 4 getting 4
2. Add -1 to the exponent, getting 0 for the exponent,

So for the second term we have 4x%5E0 and since anything
to the zero power is 1, this is just 4.

So we have:

matrix%281%2C3%2C%22f%27%28x%29%22%2C+%22=%22%2C+4x+%2B+4%29

Edwin