Df(x)=x^3ln(5x)

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Solution for Df(x)=x^3ln(5x) equation: 


Simplifying
Df(x) = x3ln(5x)

Multiply fD * x
fxD = x3ln(5x)

Remove parenthesis around (5x)
fxD = lnx3 * 5x

Reorder the terms for easier multiplication:
fxD = 5lnx3 * x

Multiply lnx3 * x
fxD = 5lnx4

Solving
fxD = 5lnx4

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by 'xD'.
f = 5lnx3D-1

Simplifying
f = 5lnx3D-1

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