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.

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

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

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