The approximate value of the derivative of a function f(x)at x can be

Question

The approximate value of the derivative of a function f(x)at x can be calculated using the

formula: $\frac{df(x)}{dx}=\frac{f(x+h-f(x)}{h}$

Calculate $\frac{df(x)}{dx}at x=2$ for $f(x)=2x^{2}+exp(3x)for(i)h=0.5$ and (ii) h = 0.05.

Determine the true error and relative true error in each case.

23 Jan 2025

Answer :

Word Count : 217

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