Derivative Rules
Differentiability
PVA
Other Calculus
Random
100
Find the derivative of:
f(x)=5x^3-4/x
f'(x)=15x^2+4/x^2
100
Where does this function appear to be non differential?
x= -1 and x = 6
100
Find the average velocity of the function below from t = 0 to t = 4.
-1/2
100
Write the equation of the tangent line at x = 9 for
y=5sqrtx
y-15=5/6(x-9)
100
How many children does Mr. Bader have?
2
200
Given h(x)=g(x)/x determine the derivative of h(x).
h'(x)=(x*g'(x)-g(x))/x^2
200
For what values of x is the function not differentiable?
y=|2x-9|
x = 9/2
200
Given the velocity graph, when does the object change directions?
t = 4
Becuase velocity changes signs.
200
What is the average rate of change of the function below from t = 1 to t = 3?
g(x)=4x^2-pi
16
200
Which of the following bands has Mr. Bader never seen in concert?
Wilco, Japanese Breakfast, The Roots, Guns 'n' Roses
Guns 'n' Roses
300
Given f(2)=3, f'(2)=1, g(2)=-2, and g'(2)=-5. Determine the value of p'(2)
p(x)=3f(x)g(x)
p'(2)=-51
300
Determine if the function is differentiable at x = -1.
It is not, because it is not smooth.
300
The function below models the position of a particle for time greater than or equal to zero. When is the velocity zero?
x(t)=t^3/3+t^2/2-6t+1
t=2
300
What is the derivative of the function below?
k(x)=1/f(x)
k'(x)=-(f'(x))/f^2(x)
300
What US state is the largest in area?
Alaska
400
Find the derivative of
y=(7x^4+3x^2-4)/x^2
y'=14x+8/x^3
400
For what value of a and b will this function be differentiable at x = 1
a = 1/2 and b = -1/2
400
Given the velocity graph, when is the particle speeding up?
(0, 1), (4,5), and (7,9) because velocity and acceleration have the same signs on those intervals
400
For what value(s) of x would the function below have an instantaneous rate of change of -2?
y=x/(x-2)
x = 1 and x = 3
400
What is the boing point for water in degrees Farenheit?
212
500
Find the second derivative of
y=2/x+6sqrt(x)
y''=4/x^4-3/(2x^(3/2))
500
What team is in first place in the western conference of the MLS?
STLCSC