Home
Class 12
MATHS
Let f(x) = root(3)(x). Find the linear a...

Let `f(x) = root(3)(x)`. Find the linear approximation at x = 27. Use the linear approximation to approximate `root(3)(27.2)`

Text Solution

Verified by Experts

The correct Answer is:
3.0074
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise EXERCISE - 8.2|11 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise EXERCISE - 8.3|7 Videos
  • DIFFERENTIALS AND PARTIAL DERIVATIVES

    FULL MARKS|Exercise Additional Questions Solved|29 Videos
  • COMPLEX NUMBERS

    FULL MARKS|Exercise EXERCISE - 2.9|25 Videos
  • DISCRETE MATHEMATICS

    FULL MARKS|Exercise Additional Question Solved|20 Videos

Similar Questions

Explore conceptually related problems

Let f(x) = 3sqrt(x) . Find the linear approximation at x = 27. Use the linear approximation to approximate 3sqrt(27.2) .

Use the linear approximation to find approximate values of 3sqrt(26)

Use the linear approximation to find approximate values of 4sqrt(15)

Use the linear approximation to find approximate values of (123)^((2)/(3))

Using the approximation to find approximate value of root3 26

Find the linear approximation for f(x) =sqrt(1+x), x ge -1 , at x_0=3 . Use the linear approximation to estimate f (3.2).

Using the approximation to find approximate value of root4 15

Using the approximation to find approximate value of (123)^(2/3)

Find the approximate value of sin 3.

Find the linear approximation for f(x) = sqrt(1 + x), x ge -1 , at x_(0) = 3 . Use the linear approximation to estimate f (3.2).