4)

\

Step 1:

\

The function is \"\".

\

Apply the formulae of derivatives:

\

\"\"

\

\"\"

\

\"\".

\

\"\"

\

Apply the derivative on each side with respect to \"\".

\

\"\"

\

\"\".

\

\"\"

\

\"\".

\

Step 2:

\

Again apply the derivative on each side with respect to \"\".

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

Solution:

\

Third derivative of \"\" is \"\".

\

 

\

5)

\

Step 1:

\

The function is \"\".

\

Apply the derivative on each side with respect to \"\".

\

\"\"

\

Apply the formula \"\".

\

\"\"

\

\"\"

\

\"\".

\

Step 2:

\

Again apply the derivative on each side with respect to \"\".

\

\"\"

\

 Apply the product rule in derivatives : \"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

Step 3:

\

\"\"

\

Apply the derivative on each side with respect to \"\".

\

\"\".

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\"

\

\"\".

\

Solution:

\

Third derivative of \"\" is \"\".