Differentiate f and find the domain of f. (Enter the domain in interval notation.) f(x) = 15 + ln(x)
Added by Kara L.
Step 1
To differentiate \( f(x) \), we apply the derivative rules. The derivative of a constant is 0, and the derivative of \( \ln(x) \) is \( \frac{1}{x} \). Therefore, the derivative \( f'(x) \) is: \[ f'(x) = 0 + \frac{1}{x} = \frac{1}{x} \] Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 76 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
Differentiate f and find the domain of f. (Enter the domain in interval notation.) f(x) = ln(x^2 - 2x)
Adi S.
Differentiate f and find the domain of f. (Enter the domain in interval notation) f(x) = 1 - ln(x)
Sri K.
Differentiate f and find the domain of f. (Enter the domain in interval notation) f(x) = ln(x^2 - 6x) f'(x) = 2(x - 3) / (x^2 - 6x) domain
Israel H.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD