wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find the approximate value of (1.999)5

Open in App
Solution

Let x = 2
and x=0.001
Let y=x5
On differentiating both sides w.r.t. x, we get
dydx=5x4Now,y=dydx.x=5x4×x=5×24×[0.001](1.999)5=y+y=25+(0.080)=320.080=31.920


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Theorems for Differentiability
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon