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lizlozada
Group Title
Use the chain rule to find the derivative of (2x7)^3.
 one year ago
 one year ago
lizlozada Group Title
Use the chain rule to find the derivative of (2x7)^3.
 one year ago
 one year ago

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myininaya Group TitleBest ResponseYou've already chosen the best response.2
So the chain rule is: dw:1348707512136:dw
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
f(x) is the outside function g(x) is the inside function
 one year ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
Should I interrupt?
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
Which function in this problem is f(x)?
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
Which function in this problem is g(x)?
 one year ago

lizlozada Group TitleBest ResponseYou've already chosen the best response.0
the power of 3 is the outside function, or f(x) and 2x7 is the inside function or g(x)
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
So f(x)=x^3 and g(x)=2x7 correct :)
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
f is the outside function g is the inside 2x7 is inside the ( )^3
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
g is inside f
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
so g is 2x7 f is x^3
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
\[f(g(x))=f(2x7)=(2x7)^3 \text{ since } f(x)=x^3 \text{ and } g(x)=2x7\]
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
Now if you want just plug into the formula above that I gave you
 one year ago

lizlozada Group TitleBest ResponseYou've already chosen the best response.0
ok so you would set it up x^3(2x7)^2?
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
The formula known as the chain rule.
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
If g(x)=2x7, then g'(x)= If f(x)=x^3, then f'(x)=?
 one year ago

lizlozada Group TitleBest ResponseYou've already chosen the best response.0
ohhh 3x^2
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
And (2x7)'=?
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
\[(f(g(x))'=f'(g(x))\cdot g'(x)=f'(2x7) \cdot 2\]
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
Now to find f'(2x7) you need to plug 2x7 into f'
 one year ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
is this the same : f(g(x)) = f(x) g(x)
 one year ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
OK i am interrupting the solution, will take time from @myininaya mam to teach me this,
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
f(g(x)) means f composed with g
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
It is not multiplication
 one year ago

lizlozada Group TitleBest ResponseYou've already chosen the best response.0
would it be 3x^2(2x7)x2?
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
No not exactly
 one year ago

lizlozada Group TitleBest ResponseYou've already chosen the best response.0
does the 2x7 have an exponent?
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
f'(x)=3x^2 f'(2x7)= <to find this one replace x with 2x7
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
the new input is 2x7
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
all the outputs have this form 3x^2
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
except x is the input
 one year ago

myininaya Group TitleBest ResponseYou've already chosen the best response.2
and for f'(2x7), the new input is 2x7
 one year ago

lizlozada Group TitleBest ResponseYou've already chosen the best response.0
i don't understand...
 one year ago

Shironlom Group TitleBest ResponseYou've already chosen the best response.0
dw:1348708652193:dw
 one year ago

Shironlom Group TitleBest ResponseYou've already chosen the best response.0
Tip: Try to sense the pattern in order to absorb the chain rule formula if you're looking for them online
 one year ago

lizlozada Group TitleBest ResponseYou've already chosen the best response.0
ok so 3(2x7)^2 x 2?
 one year ago

lizlozada Group TitleBest ResponseYou've already chosen the best response.0
@Shironlom ?
 one year ago

cgreenwade2000 Group TitleBest ResponseYou've already chosen the best response.0
Yes.
 one year ago

lizlozada Group TitleBest ResponseYou've already chosen the best response.0
thank you!
 one year ago
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