Question

Let f (x) be a differentiable function. Find the derivative of 1/f (x) using the Quotient Rule.

Answer 1

To find the derivative of 1/f(x) using the Quotient Rule, substitute f(x) into the formula (1/f(x))' = (f'(x)*1 - f(x)*1')/(f(x))^2 and differentiate.

Step-by-step explanation:

To find the derivative of 1/f(x) using the Quotient Rule, we can use the formula:

(1/f(x))' = (f'(x)*1 - f(x)*1')/(f(x))^2

By substituting f(x) with the given function, we can differentiate it using the rules of differentiation.

For example, if f(x) = x^2, then f'(x) = 2x. Substituting these values into the Quotient Rule formula will give you the derivative of 1/f(x).