Question

can someone help me find the derivative of this

Answer 1

f(x)=x^2-4x/\[\sqrt{x}\]

Answer 2

\[\frac{x^2-4x}{\sqrt{x}}\]?

Answer 3

yes

Answer 4

probably easiest to divide first and write in exponential notation

Answer 5

\[x^{\frac{3}{2}}-4x^{\frac{1}{2}}\]

Answer 6

then you can use the power rule for both terms

Answer 7

that help?

Answer 8

how did you get that

Answer 9

i divided each term by \(\sqrt{x}\) using exponential notation
that is not the answer, that is just a step along the way

Answer 10

how come you wouldnt bring up the x?

Answer 11

\[\frac{x^2}{x^{\frac{1}{2}}}=x^{\frac{3}{2}}\] for the first ter,m

Answer 12

in simple english, i subtracted \(\frac{1}{2}\) from each exponent in the numerator

Answer 13

\[\frac{x^2-4x}{\sqrt{x}}=\frac{x^2-4x}{x^{\frac{1}{2}}}\]\[=x^{2-\frac{1}{2}}-4x^{1-\frac{1}{2}}=x^{\frac{3}{2}}-4x^{\frac{1}{2}}\]

Answer 14

just using exponential notation, so now you can use the power rule to get the derivative

Answer 15

okay i get it thanks!

Answer 16

yw
btw a lot of calc problems are much easier when you have everything written in exponential notation
the power rule makes otherwise hard calculators very easy