Question

Help me find the derivative of this function!
Please check my answer for me.

Answer 1

\[1/\sqrt{5x}\]

Answer 2

My answer was \[\frac{ -1 }{ 2x \sqrt{5x} }\]
Is this right?

Answer 3

Yup :)

Answer 4

Wait really? I tried checking my work on a calculator and I get \[-\frac{ 1 }{ 2\sqrt{5}x ^{\frac{ 3 }{ 2 }} }\]

Answer 5

\(x^{\frac 3 2}=x^{\frac 1 2 + 1}=x^{\frac 1 2}x=x \sqrt{x} \)

Answer 6

Thank you for your explanation :)