Knoester AP Calculus Basic Derivatives

Evaluate: \lim_{x\to-1}f\left(x\right) using the graph of f(x) below

Find the derivative of f(x) = x⁴ + 5x

Let f (x) = x⁴ + 3x + 6. What is the instantaneous rate of change of f at x = 1?

When Eric directs the band, the repetitive motion of his hands can be modeled by what type of function?

Given f(x) below, when is f prime equal to 0?

The position of the delivery van for Reid's Blooms is s(t) = 6t² . What is the velocity of the van at t = 3

The function below is differentiable over all x-values

Given f (x) = x⁴ + x³ - x + 1, what is f ' (1) ?

Evaluate:

At which x - value(s) is the graph shown not differentiable?

After May-Ling kicks a soccer ball, the primary acceleration is caused by

Ana used the animation below to show Jesireth that the derivative of sin (x) is

The graph of f(x) below is differentiable for all x-values

Given f(x) below, when is f ' (x) positive?

Find the derivative of the graph below

Find the derivative of f(x) = 4x^1/2 + 2

Determine the x-value(s), if any, at which f (x) = x ³ + 6x - 2 has a horizontal tangent.

Find the derivative of f(x) = 7x^-1

Let f (x) = -2x³ + x² - 4x. What is the slope of the tangent line at x = 2 ?

Find the average rate of change of f(x) = x ² + 2x over the interval (1, 2)

The velocity of Armando's kicked ball can be modeled by v(t) = 32t. What is the acceleration at t = 3

When Jesus picks on his older sister Alexandra, he is being what derivative of position?

Chelsea drove 2 miles to Austin's house, 1 mile to the store, and then drove 1 mile back home. What's her displacement?

Evaluate:

Let f (x) = 6x^1/2. What is the instantaneous rate of change at x = 4?