Question

Estimate the value of 17^(1/4) using differentials??!!???

Answer 1

Please show the steps

Answer 2

Use google.

Answer 3

I google it for you, hold on.

Answer 4

actually I can't sorry, I have no idea what differentials are.

Answer 5

say \(\large y = x^{1/4}\)

and suppose your starting value is x = 16

Answer 6

then dx = 1, yes ?

Answer 7

\(\large y = x^{1/4} \implies dy = \frac{1}{4}x^{-3/4} dx\)

Answer 8

plugin x = 16 and dx = 1 above ^^

Answer 9

ganeshie8. why does dx=1? I don't see how you got that value

Answer 10

we have assumed our starting value is x=16 because 16^(1/4) = 2, which is easy to compute

dx = 17-16 = 1

Answer 11

dx is the difference between final value of x and the starting value

Answer 12

THANKS!