Question

Differentiate WITHOUT using the quotient and product rule:

Answer 1

\[y=\frac{ \sqrt{x}-2 }{ \sqrt[3]{x}}\]

Answer 2

Break it up into separate fractions first.

Answer 3

yeah, i just did that..

Answer 4

\[y=\frac{ \sqrt{x}}{ \sqrt[3]{x} }-\frac{ 2 }{ \sqrt[3]{x} }\]
then?

Answer 5

Turn the radical signs into exponents (fractional exponents)

Answer 6

\[\Large y=\frac{x^\frac{ 1 }{ 2 }}{ x ^\frac{ 1 }{ 3 } }-\frac{ 2 }{ x ^\frac{ 1 }{ 3 } } = \] Now use exponent laws to simplify