2007-11-21 15:21:21 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
y = 7x^3 + 6x^2 - 2x + 1
To find the instantaneous rate of change of y at x = 4, we must first find the derivative, dy/dx.
dy/dx = 21x^2 + 12x - 2
The instantaneous rate of change is represented by the slope at x = 4. Therefore,
m = 21(4)^2 + 12(4) - 2
m = 336 + 48 - 2
m = 382
2007-11-21 15:25:43 · answer #1 · answered by Puggy 7 · 0⤊ 0⤋
You'd be looking for the derivative : 21x^2 + 12x - 2
at the point (4, f'(4)) y will be equal to 21 (4^2) + 12 (4) - 2
Oh don't expect me to work out THAT...
2007-11-21 15:28:03 · answer #2 · answered by c0cky 5 · 0⤊ 0⤋
ever heard of a derivative? Take it, and then plug in 4 for x.
2007-11-21 15:26:21 · answer #3 · answered by ? 4 · 0⤊ 0⤋
whenever you spot the word "fee of", think of "spinoff". y = (x+4)/(x-one million) y' = (one million)(x-one million) - (one million)(x+4)/[(x-one million)^2] = [x - one million - x - 4]/[(x-one million)^2] y' = -5/[(x-one million)^2] Now plug contained in the factor x = 2 to get -5/[(2-one million)^2] = -5/(one million)^2 = -5
2017-01-05 23:23:23 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Shouldn't you be doing your own math homework???
2007-11-21 15:25:34 · answer #5 · answered by Taylor 2 · 0⤊ 0⤋