To find the derivative of \( \sqrt[3]{x^4} \), we can rewrite the expression using exponent notation and then apply the chain rule.

### Step-by-step process:

1. Rewrite \( \sqrt[3]{x^4} \) as \( (x^4)^{1/3} \), which simplifies to \( x^{4/3} \).
2. Use the power rule to differentiate \( x^{n} \), where \( n = \frac{4}{3} \). The power rule states that the derivative of \( x^n \) is \( n x^{n-1}

Find the derivative of the cube root of x^4 with a clear step-by-step solution. This problem applies key calculus concepts like the power rule and the chain rule, making it suitable for students in Grades 11-12.

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