Question

Find the derivative of the following function.

Answer 1

\[y=6(1-(t/12))^2\]

Answer 2

Okay, so have you tried expanding the expression?

Answer 3

\[y=6(1-(t/12))^2 = 6(1-(t/12))(1-(t/12)) =?\]

Answer 4

I've tried using the chain rule and then the product rule to get the answer. But its not the right answer.

Answer 5

hmmmm why are you exapnding?

Answer 6

Oh our teacher wants us to answer the question using either the chain, product, or the quotient rule. Sorry.

Answer 7

You need to use the chain rule

Answer 8

Okay, I wasn't sure what the curriculum was but anyway. Do you remember the chain rule?

Answer 9

So use the chain rule by bringing down the exponent and subtracting one form the exponent basically use the exponent rule first

Answer 10

\(\large y'=6*2(1-{t \over 12})^{2-1}\)

Answer 11

next step we derive the -t/12 in the bracket
\(\large y'=6*2(1-{t \over 12})^{2-1}*-1\)

\(\large y'=-12(1-{t \over 12})\)