Numerical differentiation using forward, backward and central finite difference

[Pricey89]

ive been given this question for a uni assignment:

given the function:

f (x) = 5(x^1.3) +1.5(7x − 3)+ 3(e^− x) + ln(2.5(x^3))

find the first derivative at all possible points within the interval [0, 6], with step length h = 1 for:
forward difference aproximation, backward difference aproximation and central finite difference aproximation.

having a bit of trouble with the question... pretty sure i know how to do most of it but not sure what to do when x=0 because ln(0) is undefined or -infinity...

any ideas?

thanks

 

[Lord Crc]

Well, it says "for all possible points" which would exclude any points where ln(0) appears.

 

[alsatron]

ive been given this question for a uni assignment:

given the function:

f (x) = 5(x^1.3) +1.5(7x − 3)+ 3(e^− x) + ln(2.5(x^3))

find the first derivative at all possible points within the interval [0, 6], with step length h = 1 for:
forward difference aproximation, backward difference aproximation and central finite difference aproximation.

having a bit of trouble with the question... pretty sure i know how to do most of it but not sure what to do when x=0 because ln(0) is undefined or -infinity...

any ideas?






thanks

LOL I'm guessing you're from brunel :P
I've figured out how to do the hand calculations but not the MATLAB part