Analyze the function h ( x ) = ln ⁡ ( 4 x ) h(x) = \ln(4x) over the interval [ 2 , e 3 ] [2, e^3] . a. Verify if the Mean Value Theorem is applicable to this function on the specified interval. b. If applicable, determine the point(s) that the Mean Value Theorem guarantees.

a. Yes b. c = e 3 − 2 3 − ln ⁡ 2 c=\frac{e^3-2}{3-\ln2}

a. Yes b. c = e 3 + 2 3 − ln ⁡ 2 c=\frac{e^3+2}{3-\ln2}

a. Yes b. c = e 3 + 2 3 + ln ⁡ 2 c=\frac{e^3+2}{3+\ln2}

Analyze the function h(x)=ln⁡(4x) h(x) = \ln(4x) ...

0. Functions(0)

1. Limits and Continuity(0)

2. Intro to Derivatives(0)

3. Techniques of Differentiation(0)

4. Applications of Derivatives(0)

5. Graphical Applications of Derivatives(0)

6. Derivatives of Inverse, Exponential, & Logarithmic Functions(0)

7. Antiderivatives & Indefinite Integrals(0)

8. Definite Integrals(0)