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Home › AP EAMCET › Mathematics › Differentiation Rules › A cubic power of a quadratic, y = (x^2 + 1)^3, h…

A cubic power of a quadratic, y = (x^2 + 1)^3, has slope function

A6x (x^2 + 1)^3
B3x (x^2 + 1)^2
C6x (x^2 + 1)^2
D3(x^2 + 1)^2
Answer & Solution
Correct answer: C. 6x (x^2 + 1)^2
The chain rule gives 3(x^2 + 1)^2 times the inner derivative 2x.
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