Question

need math gods to rescue me from this torture....
the question asks me to find the local max and min and am at the point where i've found the x-intercepts where the slope of the tangents re zero using the derivative of the original function. i've even found the found value of one coodinate but the second point is being a thorn in my throat rn...can anyone find my mistake plz?? thanks a lot

Answer 1

derivative is \[y'=-2x^2+2x-24\] right

Answer 2

yes it is

Answer 3

aka \[y'=-2(x^2-x+12)\]

Answer 4

oops mistake!

Answer 5

+

Answer 6

\[y'=-2x^2+2x+24\]
\[y'=-2(x^2-x-12)\]