posted by .

Find the derivative of f(x)=1/3 sqrt x.
The 3 is little above the square root.

I know that it is -1/3x^-4/3. Can this be written as -1/3x^4/3 ?

• Math(Please check) -

So I read this as
f(x) = x^(1/3)

f '(x) = (1/3)x^(-4/3)
which could be written as 1/(3x^(4/3)

why do you have a negative sign in front?

• Math(Please check) -

I had the negative sign there because thatg was one of the answer choices that best fit what I had but there is no negative correct? Its positive?

## Similar Questions

l = lim as x approaches 0 of x/(the square root of (1+x) - the square root of (1-x) decide whether: l=-1 or l=0 or l=1 Let me make sure I understand the question. Do we have lim x->0 x/[sqrt(1+x) - sqrt(1-x)] ?
2. ### Math

I can not find the solutions to the following problems using 2 methods: algebraically and geometrically. 1. X with the square root of 2 =9 2. X with the square root of 3 =27 3. X with the square root of 4 =27 --Note: Fourth root I'm …
3. ### math

determine the area of triangle abc when side ab= square root of x, side bc= square root of x, and side ca= the square root of the square root of x. So how do I solve it. How do I add the square root of x + the square root of x + the …
4. ### math

thanks for the help but i was wondering (16 square root of x-3) times(square root of x-1) is equal to 16x-19 square root of x then plus 3 No, it is not. 16 (sqrt (x-3) ) (sqrt (x-1)) if that is your problem. It is hard to determine …
5. ### Calculus

find derivitive of 1/square root of x 1/square root of x = x^(-1/2) The derivative is -1/2 x^(-3/2) can you keep going on the problem to not have negative exponents?
6. ### Math

How do you find a square root of a number that's not a perfect square?
7. ### math

What does it mean to have the sqaure root of 5 with a 2 in front of it?
8. ### Math

5L= ?cL 102mL= ?L 1895g= ?kg 2.3kg= ?g What is the square root of 36/49?
9. ### algebra

simplify: square root of 5 + square root of 20 - square root of 27 + square root of 147. simplify: 6/4square root of 2 sqrt 5 + sqrt 20 - sqrt 27 + sqrt 147 = sqrt 5 + sqrt (4*5) - sqrt (3*9) + sqrt (49*3) = 3 sqrt 5 - 3 sqrt 3 + 7 …
10. ### algebra 2

Not sure if either one of these answer are correct to simplify the sqrt for 24 1) 24 = 6 x 4 square root of 24 = square root of 6 x 4 2 root 6 2) sq root 24 = sq root (4x6)= sqrt 4 x sqrt 6= 2sq root 6=4.89898 3) Square root of 24 …

More Similar Questions