Find the Derivative - d/d@VAR f(x)=5x^4

Problem

d()/d(x)*5*x^4

Solution

1. Identify the function to be differentiated, which is ƒ(x)=5*x^4

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

3. Multiply the constant coefficient 5 by the exponent 4

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

5. Simplify the resulting expression.

Final Answer

(d(5)*x^4)/d(x)=20*x^3

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