Question

Calculate dx/dy, simplify

y = (x^9)(squareroot of x)

Answer 1

\[y = x^9\sqrt{x}\]

Answer 2

(9x^8)(x^(1/2)/2)

Answer 3

so the derivative of \[\sqrt{x}\] = (x^(1/2/2)

Answer 4

Product rule. I don't believe the equation above is correct @dolanoscopy

Answer 5

well the derivative of \[\sqrt{x}\] is (1/2)x^(1/2) which simplifies to x^(1/2)/2

Answer 6

The derivative of root x is .5 x^-(1/2), you subtract 1 from 1/2

Answer 7

Ahh, forgot the negative. My bad.

Answer 8

The complete derivative of the question asked would be...
(9x^8)(rootx) + (.5x^(-.5))(x^9) found using the product rule.