# Approximate the value of ^3 sqrt 27.3 using the tangent line of f(x)= ^3 sqrt x at point x= 27?

The slope of the tangent at this point is given by the derivative.

Recall the equation of a line is given by

Hopefully this helps!

By signing up, you agree to our Terms of Service and Privacy Policy

The approximate value of ( \sqrt[3]{27.3} ) using the tangent line of ( f(x) = \sqrt[3]{x} ) at ( x = 27 ) is approximately ( 3.29 ).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- The hands of a clock in some tower are approximately 2m and 1.5m in length. How fast is the distance between the tips of the hands changing at 9:00?
- How do you use Newton's method to find the approximate solution to the equation #e^x+lnx=0#?
- If #y=x^3+2x# and #dx/dt=5#, how do you find #dy/dt# when #x=2# ?
- A fence 4 feet tall runs parallel to a tall building at a distance of 2 feet from the building. What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
- How do you find the linearization at (3,5,1) of # f(x,y,z) = sqrt(x^2 y^2 z^2)#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7