Question
find y' for y=(2x+1)^10 20(2x+1)^10 10(2x+1)^9 20(2x+1)^9 20(2x-1)^9
Solution
4.5
(245 Votos)
Isaura
Elite · Tutor por 8 anos
Resposta
To find the derivative
of the function \( y = (2x+1)^{10} \), we will use the chain rule. The chain rule states that if you have a composite function \( y = f(g(x)) \), then the derivative
is given by:
In this case, let
. Then
.First, we find the derivative of
with respect to
:
Next, we find the derivative of
with respect to
:
Now, applying the chain rule:
Substitute
back into the expression:
Therefore, the correct answer is: