Find the Derivative - d/d@VAR f(x)=2x^4

Problem

d()/d(x)*2*x4

Solution

1. Identify the function to be differentiated, which is ƒ(x)=2*x4

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

3. Multiply the constant coefficient 2 by the exponent 4

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

5. Simplify the resulting expression.

Final Answer

(d(2)*x4)/d(x)=8*x3

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