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

Problem

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

Solution

1. Identify the task as finding the second derivative of the function 5*x3 with respect to x

2. Apply the power rule to find the first derivative, where (d(a)*xn)/d(x)=a*n*x(n−1)

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

3. Differentiate again by applying the power rule to the result of the first derivative.

(d(15)*x2)/d(x)=30*x

Final Answer

d()/d(x)(d(5)*x3)/d(x)=30*x

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