Question

Let f(x) = (1 - 6x²)(x - x²). Find the derivative by using the product rule.

Answer 1

To find the derivative of the given function using the product rule, apply the product rule and simplify each term before combining like terms.

Step-by-step explanation:

To find the derivative of the function f(x) = (1 - 6x²)(x - x²) using the product rule, follow these steps:

1. Apply the product rule: f'(x) = (1 - 6x²)d(x - x²)/dx + (x - x²)d(1 - 6x²)/dx
2. Simplify each term by taking the derivative of x - x² and 1 - 6x²
3. Combine like terms to obtain the final derivative.

By following these steps, you can find the derivative of the given function using the product rule.