Which one of the following statements is false?

the derivative with respect to x of the quotient of the quantity g of x and f(x) equals the quotient f of x times g prime of x minus g of x times f prime of x and the square of f of x

if f and g are differentiable, then the derivative with respect to x of the product of f of x and g of x equals the product of f prime of x and g prime of x.

if f and g are differentiable, then the derivative with respect to x of the square root of f of x equals the quotient of f of x and 2 times the square root of f prime of x.

none of these statements are false.

Hello there! lets go one by one

the derivative with respect to x of the quotient of the quantity g of x and f(x) equals the quotient f of x times g prime of x minus g of x times f prime of x and the square of f of x .

this says that:

This is true! this is teh derivative of a quotient.

If f and g are differentiable, then the derivative with respect to x of the product of f of x and g of x equals the product of f prime of x and g prime of x.

this says that:

this is false, the derivative of the product is:

derivative with respect to x of the square root of f of x equals the quotient of f of x and 2 times the square root of f prime of x.

this says:

lets do the derivative us first! :D

wich is different, then this statment is false.

hi there!

the answer will be d: 2

i'm assuming that it's c.)   volcanoes built the mountains and earthquakes tore them down.