find the derivative of y=(2x-7)^3
Mathematics · High School · Wed Jan 13 2021
llm
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Given the function:
y = (2x - 7)^3
Find the derivative.
Solution:
In order to find the derivative of the function, we apply the chain rule. Whereas, we take the derivative of the parenthesis as a whole, then take the derivative of the values inside the parenthesis.
y = (2x - 7)^3
y' = 3(2x - 7)^2 . 2
y' = 6(2x -7)^2
Final answer:
y' = 6(2x -7)^2