Derivatives
Often called the 'slope of the slope,' this is the conceptual name for the derivative of the derivative.
What is the Second Derivative?
If s(t) is the position function s’’(t) must be…
What is a(t)?
The derivative of any constant number, such as f(x) = 5, is always...
What is 0?
What type of discontinuity is present within this function?
What is jump discontinuity?
Solve Lim x>0 Sinx/x = ?
1
This unique function is its own derivative, meaning f'(x) is the same as f(x)...
What is ex?
If velocity and acceleration have the same sign the particle is…
What is speeding up?
If a function is a Parabola (x2), this geometric 'linear' result is what you get after taking its first derivative.
What is a liner line?
Is this function continuous?
What is no?
Lim x>2 x2 - 4/ x - 2
4
This rule is the "Russian Nesting Doll" of calculus, used when finding the derivative of a composite function.
What is the chain rule?
If a person is walking along a straight path and their velocity is currently negative while their acceleration is positive, they are performing this specific action.
What is slowing down
To find the derivative of the function f(x) = 1/x^3 it is often easiest to rewrite the expression using this type of exponent before applying the Power Rule."
What is a negative Exponent
Prove continuity or discontinuity
What is yes?
Lim x> Pi/2 cos2x / 1- sinx
2