Consider the function:

y$=$e$2$x$$cos$(2$x$)$

Calculate the exact value of dy$/$dx at x$=0[3]$

Use the forward, backward and central finite difference approximations to calculate the value of dy$/$dx at x$=0$ using a step size of $0\mathrm{.}10\mathrm{.}1.$ Give your answers here:

Forward: $[2]$

Backward: $[2]$

Central: $[3]$

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