Podcast
Questions and Answers
What is the derivative of the constant function f(x) = 7?
What is the derivative of the constant function f(x) = 7?
- Undefined
- 1
- 7
- 0 (correct)
According to Theorem 3.3.2, what is the derivative of $x^4$?
According to Theorem 3.3.2, what is the derivative of $x^4$?
- $3x^4$
- $5x^3$
- $4x^4$
- $4x^3$ (correct)
If f(x) = 3, what is the derivative f'(x)?
If f(x) = 3, what is the derivative f'(x)?
- 3
- 1
- 3x
- 0 (correct)
What is the derivative of the function g(x) = 2x?
What is the derivative of the function g(x) = 2x?
According to Theorem 3.3.1, what is the derivative of the constant function f(x) = -9?
According to Theorem 3.3.1, what is the derivative of the constant function f(x) = -9?
What is the derivative of the function h(x) = 5x^2?
What is the derivative of the function h(x) = 5x^2?
What is the derivative of f(x) + g(x) with respect to x?
What is the derivative of f(x) + g(x) with respect to x?
According to Theorem 3.3.5, what is the derivative of f(x) * g(x) with respect to x?
According to Theorem 3.3.5, what is the derivative of f(x) * g(x) with respect to x?
If f and g are differentiable functions at x and g(x) ≠0, according to Theorem 3.3.6, what is the derivative of f(x)/g(x) with respect to x?
If f and g are differentiable functions at x and g(x) ≠0, according to Theorem 3.3.6, what is the derivative of f(x)/g(x) with respect to x?
According to Theorem 3.3.7, what is the derivative of 1/g(x) with respect to x?
According to Theorem 3.3.7, what is the derivative of 1/g(x) with respect to x?
What is the derivative of sin(x) with respect to x?
What is the derivative of sin(x) with respect to x?
What is the derivative of cos(x) with respect to x?
What is the derivative of cos(x) with respect to x?
What is the derivative of tan(x) with respect to x?
What is the derivative of tan(x) with respect to x?
According to Theorem 3.3.8, what is the derivative of x^n with respect to x, where n is any integer?
According to Theorem 3.3.8, what is the derivative of x^n with respect to x, where n is any integer?
Which theorem generalizes the Power Rule (Theorem 3.3.1) for all integers (negative or non-negative)?
Which theorem generalizes the Power Rule (Theorem 3.3.1) for all integers (negative or non-negative)?
What does Theorem 3.3.6 state about the differentiability of the quotient function f/g at x when g(x) ≠0?
What does Theorem 3.3.6 state about the differentiability of the quotient function f/g at x when g(x) ≠0?
What is the derivative of the constant function f(x) = 9?
What is the derivative of the constant function f(x) = 9?
If f(x) = $x^3$, what is the derivative f'(x)?
If f(x) = $x^3$, what is the derivative f'(x)?
What is the derivative of the function g(x) = $4x^2$?
What is the derivative of the function g(x) = $4x^2$?
According to Theorem 3.3.6, what is the derivative of the function $\frac{1}{h(x)}$ with respect to x, where h(x) ≠0?
According to Theorem 3.3.6, what is the derivative of the function $\frac{1}{h(x)}$ with respect to x, where h(x) ≠0?
What is the derivative of the function $f(x) + g(x)$ with respect to x?
What is the derivative of the function $f(x) + g(x)$ with respect to x?
If f(x) = 7, what is the derivative f'(x)?
If f(x) = 7, what is the derivative f'(x)?
What is the derivative of the sum f(x) + g(x) according to Theorem 3.3.5?
What is the derivative of the sum f(x) + g(x) according to Theorem 3.3.5?
When g(x) ≠0, what is the derivative of the quotient f(x)/g(x) according to Theorem 3.3.6?
When g(x) ≠0, what is the derivative of the quotient f(x)/g(x) according to Theorem 3.3.6?
What is the derivative of sin(x) with respect to x?
What is the derivative of sin(x) with respect to x?
According to Theorem 3.3.8, what is the derivative of x^n with respect to x, where n is any integer?
According to Theorem 3.3.8, what is the derivative of x^n with respect to x, where n is any integer?
What is the derivative of tan(x) with respect to x?
What is the derivative of tan(x) with respect to x?
What is the derivative of the function g(x) = sin(2x)?
What is the derivative of the function g(x) = sin(2x)?
According to Theorem 3.3.7, what is the derivative of 1/g(x) with respect to x when g(x) ≠0?
According to Theorem 3.3.7, what is the derivative of 1/g(x) with respect to x when g(x) ≠0?
What is the derivative of cos(x) with respect to x?
What is the derivative of cos(x) with respect to x?
According to Theorem 3.3.5, what is the derivative of f(x) * g(x) with respect to x?
According to Theorem 3.3.5, what is the derivative of f(x) * g(x) with respect to x?
What does Theorem 3.3.6 state about the differentiability of the quotient function f/g at x when g(x) ≠0?
What does Theorem 3.3.6 state about the differentiability of the quotient function f/g at x when g(x) ≠0?
