For a function, f(x) satisfying the following conditions 1) f(0)=6, f(2)=16 2) f has a minimum value at x=−4 3) For all x, f′(x)=∣∣∣∣2ax4ax−13ax−b+3b2b+12ax+12b−2ax4b−4ax+3b+ax∣∣∣∣, the values of a and b are

For a function, f(x) satisfying the following conditions 1) f(0)=6, f(

1.	For a function, f(x) satisfying the following conditions 1) f(0)=6, f(2)=16 2) f has a minimum value at x=−4 3) For all x, f′(x)=∣∣∣∣2ax4ax−13ax−b+3b2b+12ax+12b−2ax4b−4ax+3b+ax∣∣∣∣, the values of a and b are
Answer» For a function, $f (x)$ satisfying the following conditions $1) f (0) = 6, f (2) = 16$ $2) f$ has a minimum value at $x = - 4$ $3)$ For all $x,$ $f^{'} (x) = ∣ ∣∣ ∣ \begin{matrix} 2 a x & 4 a x - 1 & 3 a x - b + 3 b & 2 b + 1 & 2 a x + 1 2 b - 2 a x & 4 b - 4 a x + 3 & b + a x \end{matrix} ∣ ∣∣ ∣,$ the values of $a$ and $b$ are