Correct Answer: Option B

Explanation

\(y = \sqrt[3]{3x^{3} + 1}  = (3x^{3} + 1)^{\frac{1}{3}}\)

Let u = \(3x^{3} + 1\); y = \(u^{\frac{1}{3}}\)

\(\frac{\mathrm d y}{\mathrm d x} = (\frac{\mathrm d y}{\mathrm d u})(\frac{\mathrm d u}{\mathrm d x})\)

\(\frac{\mathrm d y}{\mathrm d u} = \frac{1}{3}u^{\frac{-2}{3}}\)

\(\frac{\mathrm d u}{\mathrm d x} = 9x^{2}\)

\(\frac{\mathrm d y}{\mathrm d x} = (\frac{1}{3}(3x^{3} + 1)^{\frac{-2}{3}})(9x^{2})\)

= \(\frac{3x^{2}}{\sqrt[3]{(3x^{3} + 1)^{2}}}\) 

• what is the cutt off mark for osun state college of nursing science in Asubiaro osun? Answer this

  1 Answers   ·   Medical Science   ·   9 hours ago
• How can I get better at wave length 😭? Answer this

  2 Answers   ·   Physics   ·   4 days ago
• What can i study with 155 score in science course? Answer this

  4 Answers   ·   Biology   ·   4 days ago