Podcast
Questions and Answers
What is the derivative of the function f(x) = 3x^2 + 4x - 2?
What is the derivative of the function f(x) = 3x^2 + 4x - 2?
- f'(x) = 3x^2 + 4
- f'(x) = 6x - 4
- f'(x) = 6x + 4 (correct)
- f'(x) = 3x^3 + 2x - 2
What is the second derivative of the function g(x) = 4x^3 - 6x^2 + 2x + 1?
What is the second derivative of the function g(x) = 4x^3 - 6x^2 + 2x + 1?
- g''(x) = 12x^2 - 12x + 2 (correct)
- g''(x) = 24x - 12
- g''(x) = 12x^2 - 12x
- g''(x) = 4x^2 - 6x + 2
If h(x) = e^x + ln(x), what is h'(x)?
If h(x) = e^x + ln(x), what is h'(x)?
- h'(x) = e^x - 1
- h'(x) = e^x + 1/x (correct)
- h'(x) = e^x + 1
- h'(x) = e^x - 1/x
Flashcards
What is a derivative?
What is a derivative?
The first derivative of a function is the rate of change of the function with respect to its input variable. In other words, it tells you how quickly the function is changing at a given point.
What is the 2nd derivative?
What is the 2nd derivative?
The second derivative of a function is the derivative of the first derivative. This tells us how fast the rate of change of the function is changing.
What are the derivatives of e^x and ln(x)?
What are the derivatives of e^x and ln(x)?
The derivative of e^x is e^x and the derivative of ln(x) is 1/x.
Study Notes
What is the derivative of the function f(x) = 3x^2 + 4x - 2? What is the second derivative of the function g(x) = 4x^3 - 6x^2 + 2x + 1? If h(x) = e^x + ln(x), what is h'(x)?
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
