Find the Derivative - d/d@VAR f(x)=6x^4

Problem

d()/d(x)*6*x4

Solution

1. Identify the function to be differentiated, which is ƒ(x)=6*x4

2. Apply the constant multiple rule, which states that d()/d(x)*[c⋅ƒ(x)]=c⋅d(ƒ(x))/d(x)

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

4. Multiply the constant 6 by the exponent 4 and subtract 1 from the exponent.

5. Simplify the resulting expression.

Final Answer

(d(6)*x4)/d(x)=24*x3

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