so ive go a question asking me to find the first derivative of 3(-0.1n^2+10n)-2(-0.2n+10) so ive brought the 3 and -2 into the brackets to get (-0.3n^2+30n)(0.4n+20) now when i derive this using product rule to get (-0.6n+30)(0.4n+20)+(0.4)(-0.3n^2+30n) and once i expand this and simplify i get down to
0.12n^2-12n+600 and all i need to know is if i did this right and if not where did i go wrong
+23247 y = 3(-0.1n² + 10n) ---> y = -0.3n² + 30n ---> y' = -0.6n + 30
y = -2(-0.2n + 10) ---> y = 0.4n - 20 ---> y' = 0.4
Total: y' = -0.6n + 30 + 0.4 ---> y' = -0.6n + 30.4
If you add them first: y = -.3n² + 30n + 0.4n + 10 ---> y = -.3n² + 30.4n + 10
---> y' = -0.6n + 30.4
--- addd these together, don't multiply them ...
+128707 I assume what you have is this
[3(-0.1n^2+10n)] * [-2(-0.2n+10)] if so, we have
[-.3n^2 + 30n] * [-.4n -20] let's just simplify this directly.....we have
.12n^3 - 12n^2 + 6n^2 - 600n =
.12n^3 - 6n^2 - 600n
And taking the derivative of this, we have
.36n^2 - 12n - 600
