Which of the following expressions is the definition of the derivative of f(x) = the square root of x at the point (3, the square root of 3)

a. limit as h goes to 0 of the quotient of the difference between the square root of the quantity 3 plus h plus the square root of 3, and h
b. limit as h goes to 0 of the quotient of the difference between the square root of the quantity 3 plus h minus the square root of 3, and h
c. limit as h goes to 0 of the quotient of the difference between the square root of the quantity x plus h minus the square root of x, and h

Question

Which of the following expressions is the definition of the derivative of f(x) = the square root of x at the point (3, the square root of 3)

a. limit as h goes to 0 of the quotient of the difference between the square root of the quantity 3 plus h plus the square root of 3, and h
b. limit as h goes to 0 of the quotient of the difference between the square root of the quantity 3 plus h minus the square root of 3, and h
c. limit as h goes to 0 of the quotient of the difference between the square root of the quantity x plus h minus the square root of x, and h

aryana_maria2323 · Answer

d. limit as h goes to 0 of the quotient of the difference between the square root of the quantity 3 plus h minus the square root of h, and h

aryana_maria2323 · Answer

Can you please help? @Astrophysics @mathmale

anonymous · Answer

I'm here to help

anonymous · Answer

Idk

anonymous · Answer

Sry

mathmale · Answer

sometimes it's easier just to find your own formula for the defin'n of the derivative.

$$f '(x)= \lim (as~ h ~goes~ \to~ zero)~ of \frac{ f(x+h)-f(x) }{ h }$$

mathmale · Answer

Another form replaces x with a right away; so, you'd replace all those x's with the number 3.

aryana_maria2323 · Answer

Okay so I replace all the x's with 3 and that will give me my answer?

aryana_maria2323 · Answer

@mathmale