Find the Derivative Of $y = 4 ^ { x } - 4$

question 158

Multiple Choice

Find the derivative of $y = 4 ^ { x } - 4$ .

• A) \(4 ^ { x }\)
• B) \(( \ln 4 ) 4 ^ { x }\)
• C) \(( \ln 4 ) 4 ^ { x } - \ln 4\)
• D) \(x 4 ^ { x - 1 }\)

---

Definitions:

Crest

The highest point of a hill or mountain range; also refers to the peak or summit.

Trough

A trough generally refers to a long, narrow container from which animals eat or drink, but in scientific contexts, it can also mean a low point or minimum phase in a cycle, such as in economics or meteorology.

Visible Spectrum

The portion of the electromagnetic spectrum that is visible to the human eye, typically encompassing wavelengths from about 380 to 750 nanometers.

Longer Wavelengths

Describes the property of light or electromagnetic waves characterized by greater distances between wave peaks, often associated with lower frequencies and energies.