Question

The derivative of the 3rd sqrt of x = ? The derivative of the 3rd sqrt of x = ? @Mathematics

Answer 1

derivative of x^(1/3), and apply the power rule

Answer 2

as in \[\sqrt[3]{x}\]

Answer 3

radicals are fractional exponents

Answer 4

First understand that the cube root of a number is the same as that number raised to 1/3. This makes it easy. Multiply by 1/3 and subtract 1 from 1/3 for the new exponent. So you'd get 1/3x^-2/3

Answer 5

unless your asking for the limit definition of a derivative

Answer 6

then its messier :)

Answer 7

as in \[\sqrt[3]{x}\]

Answer 8

ok and rewritten, would that be \[1\div(3\sqrt[3]{x ^{2}})\]?

Answer 9

yes

Answer 10

well actually x shouldn't be in the denominator I don't think.

Answer 11

x goes negative on an exponent, its denomed

Answer 12

oops i'm stupid

Answer 13

so, what is the answer then?

Answer 14

What you had, you were 100% correct!

Answer 15

ah ok, tanks again :)