Find the Derivative - d/dx y=x^7

Problem

d()/d(x)*x7

Solution

1. Identify the function to be differentiated, which is a power function of the form xn where n=7

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

3. Substitute the value n=7 into the power rule formula.

4. Simplify the exponent by calculating 7 - 1 = 6$.

Final Answer

d(x7)/d(x)=7*x6

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