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

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional