Question

How do i take the derivative of
2x^2 - 200x + 10000

Answer 1

just bring down the exponent which is
4x - 200

Answer 2

thats all you did

Answer 3

the derivative with respect to x?

Answer 4

so the x on 200x disappears?

Answer 5

Apply Power rule!

Answer 6

what about the 10000?

Answer 7

(c)' = 0

Answer 8

the 10000 doesn't do anything

Answer 9

Yeh, power rule mang.

The 200x is implied to be 200x^1. 1 * 200 = 200. 1 - 1 = 0 and x^0 = 1. So 200 * 1.

Answer 10

it equals 0

Answer 11

\[y(x)=2x^2 - 200x + 10000\]
\[\frac{\text dy(x)}{\text dx}=\frac{\text d}{\text dx}\left(2x^2 - 200x + 10000\right)\]
\[=\frac{\text d}{\text dx}(2x^2) - \frac{\text d}{\text dx}(200x) + \frac{\text d}{\text dx}(10000)\]\[=(2\times2x^{2-1}) - (1\times200x^{1-1}) +(0\times10000x^{0-1})\]