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Difference Calculus Finite Difference Form

Difference Calculus Finite Difference Form

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in this section we'll be discussing numerical differentiation so here we have our task which asks us to use the forward backward and central difference formula to approximate the first derivative of the function 2 e to the power 1.5 x at x equal to 3 and we'll have to take our step size h as 0.1 so let's go ahead and start working on this so for the forward difference that is for the first derivative of the function our formula is f of a plus h minus f of a divided by h so the a is actually your as in showing the question here so at x is equal to 3 so that's our a that's 3 and our h is 0.1 and our function is given maybe let's write them down separately here it's easier for us to notice them so yeah our function f of x is 2 e to the power 1.5 x our a is 3 and our h is 0.1 so we'll keep those in mind and work ahead so here now we have okay let's write it here so we have f of a is three so three plus zero point one m

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