Question

Be sure to highlight the step (illustrated below) in your answer sheet, when using the chain, product or quotient rules.

For example, if Y = ( 2x³ + 7x ) ⁴

Then Y` = 4 ( 2x<sup>3</sup> + 7x )<sup>3</sup> ( 2x<sup>3</sup> + 7x ) ` =

= 4 ( 2x³ + 7x )³ ( 6x ²  + 7)   ** [ <== be sure to show this step ] ** ....

Then I may ask you to simplify ( or not ) depending on the context of the problem.

a.  Let Y = ( 3x⁵ - 2x²  ) ⁴

Find Y ` =   

no need to simplify the expression after finding y`.

b.  Let Y =   ( 11x³ - 5x² + 3x ) ^0.5

Find Y ` =

No need to simplify.

c.  Let Y = 6x³ exp( 3x² + x )

Find Y ` =

no need to simplify.

Answer 1