Find dy/dx y=x^4

Problem

d()/d(x)*x^4

Solution

1. Identify the function to be differentiated, which is a power function of the form x^n where n=4

2. Apply the power rule for differentiation, which states that d(x^n)/d(x)=n*x^(n−1)

3. Substitute the value n=4 into the power rule formula.

4. Simplify the exponent by calculating $4 - 1 = 3$.

Final Answer

d(y)/d(x)=4*x^3

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