Question

find the derivative of y=x^4+3sqrt(x)/x^2

Answer 1

Use power rule

Answer 2

\[
y=x^4+\frac{3\sqrt x}{x^2} = x^4+3x^{-3/2}
\]

Answer 3

uhm wait no thats not the problem

Answer 4

it's x^4+3sqrt(x) all divided by x^2

Answer 5

\[
y = \frac{x^4+3\sqrt x}{x^2}= \frac{x^4}{x^2} + \frac{3\sqrt x}{x^2} = x^2+3x^{-3/2}
\]

Answer 6

\[
dy = d(x^2+3x^{-3/2}) = d(x^2)+3~d(x^{-3/2})
\]