Differentiate 3x+2(37,500,000/x) I know the answer is suppose to be 3(x^2-25,000,000)/x^2 but I'm not sure how to get there.
2 answers
Got it thanks anyways... I for some reason wasn't putting 3 over x^2 to simplify. dumb mistake.
d ( 1 / x ^ n ) / dx = - n * x ^ ( - n - 1 )
d ( 1 / x ) / dx = d ( 1 / x ^ 1 ) / dx = - 1 * x ^ ( - 1 - 1 ) = - 1 * x ^ - 2 = - 1 / x ^ 2
d ( 3x ) / dx = 3
d [ 3 x + 2 ( 37,500,000 / x ) ] / dx =
3 + 2 * 37,500,000 * ( - 1 ) / x ^ 2 =
3 - 75,000,000 / x ^ 2
d ( 1 / x ) / dx = d ( 1 / x ^ 1 ) / dx = - 1 * x ^ ( - 1 - 1 ) = - 1 * x ^ - 2 = - 1 / x ^ 2
d ( 3x ) / dx = 3
d [ 3 x + 2 ( 37,500,000 / x ) ] / dx =
3 + 2 * 37,500,000 * ( - 1 ) / x ^ 2 =
3 - 75,000,000 / x ^ 2