Use a linear approximation to estimate the number (27.07)^{2/3}. Answer: 9.01556
Added by Lauren P.
Close
Step 1
07 that we can easily take the cube root and square of. The number 27 is a good choice because the cube root of 27 is 3 and squaring 3 gives us 9. The function we are dealing with is f(x) = (x)^(2/3). The derivative of this function is f'(x) = (2/3)x^(-1/3). We Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 55 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Zhumagali S.
Use a linear approximation to estimate the number (125.07)2/3 Answer:
Linda H.
Use an appropriate function and local linear approximation to find an approximation of the given quantity, $\frac{(0.9)^{4}}{(0.9)+1}$
Applications of the Derivative
Linearization and Differentials
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD