2) Use forward-divided differences to approximate $y'(2)$\n a) Use a step size of h=0.2. Calculated the true percent relative error your approximation.\n b) Use a step size of h=0.1. Calculate the true percent relative error of your slope approximation. Compare it to your\n error from a) to show that the forward divided difference approximation has error O(h).
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The forward-divided difference formula for approximating the derivative \( y'(x) \) at \( x = x_0 \) is given by: \[ y'(x_0) \approx \frac{y(x_0 + h) - y(x_0)}{h} \] Show more…
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