Paragraph: Consider the function f(x)=3 x^4-20 x^3-12 x^2+288 x+1 Question: In which one of the following intervals is the function increasing?

Step-by-step solution

f(x)=3 x^4-20 x^3-12 x^2+288 x+1 f^ (x)=12 x^3-60 x^2-24 x+288 aligned & f^ (x)=(x+2) (x^ -3 )(x-4) & f^ (x) 0 & (x+2)(x-3)(x-4) 0 aligned x (-2,3) (4, )