Find the Derivative - d/dx f(x)=5x^3

Problem

d()/d(x)*5*x3

Solution

1. Identify the function as a power function multiplied by a constant, where ƒ(x)=5*x3

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

3. Multiply the constant coefficient by the exponent and decrease the exponent by one.

4. Simplify the resulting expression by calculating 5⋅3

Final Answer

(d(5)*x3)/d(x)=15*x2

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