Question

f(x)= (7x^2+5x+4)/√x
find f'(x). find f'(4).
im not quite sure im doing this problem correctly

Answer 1

What is the quotient rule? How can we apply it to f'(x)?

Answer 2

f'g+fg"/g^2

Answer 3

would i use the product rule for the top? and then the quotient rule?

Answer 4

\[f(x) = \frac{7x^2 + 5x + 4}{x^{1/2}} \\
f'(x) = \frac{(14x + 5)(x^{1/2}) + (7x^2 + 5x + 4)(\frac{1}{2} x^{-1/2})}{x}\]
Evaluate.

Answer 5

thanks @bloopman