Find the linear approximation of f(x)=sqrt (16-x) at a=0 and use it to approximate sqrt (15.9) and sqrt(16.1)

Question

Find the linear approximation of f(x)=sqrt (16-x)  at  a=0 and use it to approximate  sqrt (15.9)  and  sqrt(16.1)

bahrom7893 · Answer

again?

bahrom7893 · Answer

L(x) = f(a) + f'(a) (x-a)

bahrom7893 · Answer

f'(x) = (1/2) (16-x)^(-1/2) * (-1)

bahrom7893 · Answer

wait let me put this in neater format

anonymous · Answer

i get that part...need help wit second half

bahrom7893 · Answer

oh okay so to approximate..

bahrom7893 · Answer

what did u get for the result for L(x) ? So that I don't have to work it out again

anonymous · Answer

im at sqrt (16-x)+1/2(16-x)^-1/2

bahrom7893 · Answer

So in this case to approximate:
sqrt(15.9) is approximately f(16) + f'(16) * (16-15.9)

bahrom7893 · Answer

sorry no

bahrom7893 · Answer

sqrt(15.9) is approximately f(16) + f'(16) * (15.9-16)

bahrom7893 · Answer

wait sorry i got lost let me work on this on my own..

bahrom7893 · Answer

carra u here? i got it... gotta go somewhere else to explain though, can we go on twiddla?

bahrom7893 · Answer