Problem 7
Question
Find the derivative of the function. $$ y=x^{4} $$
Step-by-Step Solution
Verified Answer
The derivative of the function \( y=x^{4} \) is \( y'=4x^{3} \).
1Step 1: Identify the function
The function given is \( y=x^{4} \).
2Step 2: Apply the power rule
Applying the power rule, the derivative of \( x^{4} \) is given by \( 4 \cdot x^{4-1} \).
3Step 3: Simplify the expression
The derivative simplifies to \( 4x^{3} \).
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