Question

Find the derivative of x(3x-16)/(2 root(x-4)^3)

Answer 1

Use the product rule and the chain rule. Totally simplified I got:
\[(128-32 x+3 x^2)/(4 (-4+x)^(5/2))\]
Let me know if you have question on steps

Answer 2

so I first used the quotient rule to get (6x-16)(2(x-4)^3/2) - (3x^2-16)(x3-4)^2/(2(x-4)^3/2)^2. Is this correct so far? If it isn't i don't know what i'm doing wrong. Help please.