SOLUTION: i am not sure what category to put this under, but what is the derivative of 10x - (3x^2/400)?

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Question 817133: i am not sure what category to put this under, but what is the derivative of 10x - (3x^2/400)?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Divide and conquer.
The derivative of 10x is 10 multiplied times the derivative of x , which is 1 .
The derivative of 3x%5E2%2F400=%283%2F400%29x%5E2 is 3%2F400 times the derivative of x%5E2 , which is 2x .
So the derivative of 10x+-+3x%5E2%2F400 is
10-%283%2F400%29%282x%29=10-3x%2F200

HOW TO CALCULATE THE EASIER DERIVATIVES:
To calculate the derivative of a sum f%28x%29+%2B+g%28x%29 , where f%28x%29 and g%28x%29 are functions of your variable x , you just add the derivatives of both functions.
The derivative of a%2Ah%28x%29 , where a is any real number and h%28x%29 is a function of your variable x is a times the derivative of f%28x%29 .
The derivative of x%5Ep , where p is any real number and x is your variable is p%2Ax%5E%28p-1%29 . This is so general that the derivative of x%5E0=1 is 0%2Ax%5E%28-1%29=0.

NOTE:
10x - (3x^2/400) = 10x - 3x^2/400 =10x+-+3x%5E2%2F400
(Those parentheses were not needed, because order of operations conventions require that all multiplications/divisions be done before additions/subtractions).