If y=2lnx, then d4y/dx4=

Given that we know the relation y = f(x), we want to get the fourth differentiation.

We will get:

So we start by knowing that:

Then the differentiations are:

So the fourth differentiation of y is just:

If you want to learn more, you can read:

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d⁴y/dx⁴ = -12/x⁴

Step-by-step explanation:

y = 2In x

We want to find d⁴y/dx⁴. This is the fourth derivative.

Using product rule, first derivative is;

dy/dx = 2/x

Using quotient rule, we can find the second, third and fourth derivative;

d²y/dx² = -2/x²

d³y/dx³ = 4/x³

d⁴y/dx⁴ = -12/x⁴

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.