Differentiation problem

[glo0mie]

Problem: d/dx ( (3x^2-2x)(x+13)^4(x^3+5x)^6 )
I've got extremely messy answer i wasn't sure if i should use substitution or something
i only used the chain and product rule
please help mee

 

[Deleted member 4993]

Problem: d/dx ( (3x^2-2x)(x+13)^4(x^3+5x)^6 )
I've got extremely messy answer i wasn't sure if i should use substitution or something
i only used the chain and product rule
please help mee

Answer will be messy - repeated application of product rule, power and chain rule.

No substitution needed.

 

[BigGlenntheHeavy]

\(\displaystyle D_x[(3x^2-2x)(x+13)^4(x^3+5x)^6] \ =\)

\(\displaystyle (6x-2)(x+13)^4(x^3+5x)^6+(3x^2-2x)(4)(x+13)^3(x^3+5x)^6+(3x^2-3x)(x+13)^4(6)(x^3+5x)^5(3x^2+5)\)

\(\displaystyle Stop \ here, \ if \ you \ are \ smart.\)