I have struggles with the last part...?

Question

#x^(3/5)(7-x)#
#x^(3/5)(-1)+(7-x)(3/5x^(-2/5))#
#-x^(3/5)+(3(7-x))/(5x^(2/5))#

What do I do next?

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Answer 1 · 2018-03-19T22:10:44

Please see below.

What to do next depends largely on what you have asked to do. I am assuming that you just want to simplify the derivative and stop.

You have:

#-x^(3/5)+(3(7-x))/(5x^(2/5))#, which is the same as

#-x^(3/5)/1+(3(7-x))/(5x^(2/5))#

One thing we could do next is to get a common denominator and write this as a single quotient.

#-x^(3/5)/1 * (5x^(2/5))/(5x^(2/5))+(3(7-x))/(5x^(2/5)) = ((-5x)+3(7-x))/(5x^(2/5))#

# = (-5x+21-3x)/(5x^(2/5))#

# = (-8x+21)/(5x^(2/5))#