Find the 2nd derivative if x^3 log x wit...

Find the 2nd derivative if `x^3` log x with respect to x.

Text Solution

Verified by Experts

The correct Answer is:

`x(5+6logx)`

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Knowledge Check

Find the derivative of (9x^(5))/(x-3) with respect to x.

A

`(9x^(4)(4x-15))/((x+3)^(2))`

B

`(9x^(4)(4x-5))/((x-3)^(2))`

C

`(9x^(4)(4x+15))/((x-3)^(2))`

D

`(9x^(4)(4x+15))/((x+3)^(2))`

Find the derivative of 'x sinx' with respect to 'x'.

A

`(x cos x -sin x)`

B

`(3x cos x +sin x)`

C

`(x cos x +sin x)`

D

`( cos x +sin x)`

Derivative of log_(10) with respect to x^(2) is

A

`2x^(2) log_(e) 10`

B

`(log_(10) e)/(2x^(2))`

C

`(log_(e) 10)/(2x^(2))`

D

`x^(2) log_(e) 10`

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