Find the derivative of sin(x)·x² at x = 1
Use a numeric central-difference derivative on a product of trig and polynomial.
Solution
- Function f(x) = sin(x) * x^2
- Point a = 1, f(a) = 0.841471
- Central difference f'(a) ≈ (f(a+h) − f(a−h)) / 2h with a small h
- Derivative f'(1) ≈ 2.22324
Try a similar problem yourself
Use the Derivative at a Point to solve a similar problem with your own values.
Open the solver