Question

can someone help me please?

Find the derivative of the function

s(x) = square root x + 3/square root x

Answer 1

\[\sqrt{x} + 3/\sqrt{x}\]

Answer 2

you should memorize the derivative of \(\sqrt{x}\) because it is a very common function
the derivative of \(\sqrt{x}\) is \(\frac{1}{2\sqrt{x}}\)

Answer 3

as for \(\frac{3}{\sqrt{x}}\) you can rewrite it as \(3x^{-\frac{1}{2}}\) and use the power rule

Answer 4

\[1/2\sqrt{x} - 3x^-1/2\]

Answer 5

is that correct ?^^^

Answer 6

no

Answer 7

the first part is right, you still have to take the derivative of
\[3x^{-\frac{1}{2}}\] using the power rule

Answer 8

i just rewrote it in exponential form, you still have to find the derivative

Answer 9

so -3/2x-1?

Answer 10

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

Answer 11

@satellite73

Answer 12

@satellite73 \[\frac{ 1 }{ 2 }\sqrt{x}+ -3/2x ^{-1}\]

Answer 13

is that correct?