Question

if (x-1/x)=6, find the values of 1. (x2+1/x2) 2. (x4+1/x4) ​

Answer 1

Answer:

Step-by-step explanation:

have,y=(1+x)(1+x

2

)(1+x

4

).......(1+x

4

)

take natural logarithm both sides

lny=ln(1+x)+ln(1+x

2

)+ln(1+x

4

)+................+ln(1+x

2n

)

Now differentiate both sides w.r.t. x

⇒

y

1

​

dx

dy

​

=

1+x

1

​

+

1+x

2

2x

​

+

1+x

4

4x

3

​

+......+

1+x

2n

2nx

2n−1

​

⇒

dx

dy

​

=y(

x

1

​

+

1+x

2

2x

​

+...........+

1+x

2n

2nx

2n−1

​

)

Now substitute x=0 to get the required value

⇒

dx

dy

​

∣

∣

∣

∣

∣

​

x=0

​

=1(1+0+0+......+0)=1

Note that at x=0, value of y is also 1

Answer 2

Answer:

Hello mate...

This is me Aastha..

Hope my answer is correct and helps uh...