what is the equation for taking the derivitive of -x^2+x
just equation setup i don't need an answer from power rool
The derivative of -x^2 is -2x.
The derivative of x is 1.
Add the two terms.
In general, the derivative of any term that can be written
a*x^n, where a and n are constants, is
n*a*x^(n-1)
To find the derivative of the function -x^2 + x, you can use the general power rule for differentiation. The power rule states that if you have a term of the form x^n, the derivative of that term with respect to x is given by the equation n*x^(n-1).
In this case, your function is -x^2 + x. To find the derivative, you need to apply the power rule separately to each term.
For the first term -x^2, the exponent is 2, so you multiply it by the coefficient -1 to get -2x. Then, you subtract 1 from the exponent to get 2-1 = 1.
For the second term, x has an exponent of 1. Following the power rule, you multiply the coefficient 1 by 1 to get 1x^(1-1) = x^0 = 1. However, x^0 is equal to 1, indicating a constant term, and the derivative of a constant is always zero.
Therefore, the derivative of -x^2 + x is -2x + 1.