Question

Derive 4x^2lnx^6

Answer 1

please, you have to apply the product rule.

Answer 2

When I did product rule I got 8xlnx^6 +4x^61/x^6 is that right?

Answer 3

You got first part correct \((8x~\ln x^6)\), but not second part.

You have to derivative \(\ln x^6\), right? Just apply chain rule here.

Answer 4

So it would be 6x^5 for the second part?

Answer 5

Derivative of \(\ln x^6\) is \(\dfrac{6x^5}{x^6} = \dfrac{6}{x}\), right?

So second part should be \(4x^2\cdot\dfrac{6}{x} = 24x\)