Explore BrainMass

# Derivative applications

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

1.) Mean Value Theorem: Let f(x)= x ln x
a.) Write an equation for the secant line AB where A= (a,f(a)) and B= (b,f(b))
b.) Write an equation for the tangent line that is parallel to the secant line AB.
2.) Approximating functions: Let f be a function with f'(x)= sinx^2 and f(0)= -1
a.) Find the linearization of f at x=0

Â© BrainMass Inc. brainmass.com December 24, 2021, 6:20 pm ad1c9bdddf
https://brainmass.com/math/derivatives/derivative-applications-107674

#### Solution Preview

Please see the attached file.

1.) Mean Value Theorem: Let f(x) = x ln x
a.) Write an equation for the secant line AB where A= (a, f(a)) and B= (b, f(b))
At x = a, f(a) = a ln a
At x = b, f(b) = b ln ...

#### Solution Summary

This set looks at a few examples of applying derivatives in the mean value theorem and approximating functions.

\$2.49