Find the Derivative - d/dx y=4x^7

Problem

d()/d(x)*4*x^7

Solution

1. Identify the function to be differentiated, which is a power function multiplied by a constant coefficient.

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

3. Multiply the constant coefficient 4 by the exponent 7

4. Subtract 1 from the original exponent to find the new exponent.

5. Simplify the resulting expression.

Final Answer

(d(4)*x^7)/d(x)=28*x^6

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