Question

Use Newton's method with the specified initial approximation x1 to find x3, the third approximation to the root of the given equation. (Round your answer to four decimal places.) (1/3) x^3 + (1/2) x^2 + 8 = 0, x1 = −3

Answer 1

i cannot read what you have, but the next approximation is going to be
\[-3-\frac{f(-3)}{f'(-3)}\] and so on