find the derivative of the function.
f(t)= (3+6t)^(3/7)

Question

find the derivative of the function.
f(t)= (3+6t)^(3/7)

anonymous · Answer

You know chain rule and product rule?

anonymous · Answer

i cant do the simple power rule? cause i got (3/7)(3+6t)^(-4/7) so far but idk where to go from here and i know this is wrong

anonymous · Answer

$$f(t)= (3+6t)^{3/7}$$
$$f \prime (t)= \frac{ 3 }{ 7 }(3+6t)^{\frac{ 3 }{ 7 } - 1} \times 6$$

anonymous · Answer

you get it?

anonymous · Answer

what rule is that?

anonymous · Answer

this is called the chain rule

anonymous · Answer

i dont get why you multiply 6 can you explain it to me please

anonymous · Answer

uhm do you know he simple x^n differentiation?

anonymous · Answer

yeah the simple power rule i did that but it gave me the wrong answer

anonymous · Answer

ya now you assume the ( 3 + 6t ) = x
and then differentiate it

anonymous · Answer

gottcha okay i understand now so basically you do the simple power rule and then multiply what is outside of the parenthesis by the derivative of inside the parenthesis

anonymous · Answer

(Sorry, when I said "chain rule and product rule," I meant chain rule and power rule.)

anonymous · Answer

@CliffSedge thats okay thanks for the help!

anonymous · Answer

@miteshchvm ??

anonymous · Answer

oh ha ha!
you understood it?

anonymous · Answer

"gottcha okay i understand now so basically you do the simple power rule and then multiply what is outside of the parenthesis by the derivative of inside the parenthesis" so this is right?? @miteshchvm haha ? :D

anonymous · Answer

ya absolutely right! :D

anonymous · Answer

okay thanks a bunch for your help!!! <3 :DDDD