Question

d. find the derivative how to set up

Answer 1

y = log4 {(3x – 2)3(7x2 + 5)}

Answer 2

\[y = \log _{4} {(3x – 2)3(7x2 + 5)} \]

Answer 3

is that all inside the log function?

Answer 4

yeah

Answer 5

ok use the chain rule
h(x) = f(g(x))
h'(x) = f'(g(x))*g'(x)
\[\frac{d}{dx}\log_{4}x = \frac{1}{(\ln 4) * x} \]

Answer 6

then you have to use the product rule to find derivative of inside

Answer 7

1/[9(3x-2)^2(14x)]ln4

Answer 8

solution:
\[= \frac{9(7x^{2}+5) +14x(3x-2)}{\ln(4)(3x-2)(7x^{2}+5)}\]