W=6x^4 SQRT4y ln (3z)

Question

find F with regards to x
Is 24x^3 SQRT4y ln (3z) correct?

Answer 1

I don't understand the question.
What and where is F ?
Where does the square root end
is it √(4y) * ln(3z) , or
is it √(4yln(3z)) or
....
Are you finding the derivative of W with respect to x ?

(no regards in Calculus, usually we give our regards to Broadway)

Answer 2

W=6x^4 * SQRT4y * ln * (3z)

Yes, the derivative of W with respect to x

Answer 3

so you have 3 factors , assuming x, y and z are variables.
use the product rule

W = (6x^4)(4y)^.5 (ln (3z))
dW/dx = 24x^3((4y)^.5 (ln (3z)) + (6x^4)(ln(3z)) (2y dy/dx) + (6x^4)(4y)^.5 (1/z) dz/dx

Answer 4

the middle term should be

dW/dx = 24x^3((4y)^.5 (ln (3z)) + (6x^4)(ln(3z)) ((1/4)(4y)^-.5 dy/dx) + (6x^4)(4y)^.5 (1/z) dz/dx

Answer 5

thanks, that's pretty close to what I got