Question

use the product rule to find the derivative
g(t)=(3t^2)^2

Answer 1

Are you sure you wouldn't rather use the power rule?

Answer 2

im sure

Answer 3

\[g(t)=(3t*t)*(3t*t)\]
So to use the product rule we should probably rewrite it like this, then our derivative will start to look like this:
\[g'(t)=(3t*t)'*(3t*t)+(3t*t)*(3t*t)'\]

but if you use the power rule it'll be more like:
g(t)=9t^4
g'(t)=36t^3

Answer 4

\[g(t)=(3t^2)^2\]

Answer 5

opps i wrote it wrong

Answer 6

\[g(x)=(3x^2+2)^2\]