The derivative of a function is a ________ finder.
What is slope
100
A function cannot be differentiable at these graphical features.
What are corners, cusps, vertical tangents
100
The derivative of f(x) = sqrt(x)
What is f'(x) = 1/(2*sqrt(x))
100
The derivative to f(x) = (sin x)/(e^x)
What is f'(x) = ((e^x*cos x) - (sin x*e^x))/(e^x)^2
100
Dwayne Michael Carter Jr.
Who is Lil Wayne
200
The slope of the tangent line is the ___________ rate of change.
What is instantaneous
200
If a function is continuous, it is ________ differentiable
If a function is differentiable, it is ________ continuous
(word choices: always, sometimes, never)
What is sometimes, then always
200
The derivative of f(x) = 1/4x^2
What is f'(x) = -1/8x^3
200
The derivative of f(x) = (x^5 - 3x^4)/(x^2 + 7x)
What is f'(x) = ((x^2 + 7x)(5x^4 - 12x^3) - (x^5 - 3x^4)(2x+7))/(x^2+7x)^2
200
Clifford Joseph Harris Jr.
Who is T.I.
300
The slope of the line tangent to f(x) = sin (x) at x=0
What is 1
300
A function is differentiable when the slopes of the ______ lines at a point approach a common value.
What is tangent
300
The derivative of f(x) = (3x^2)*(cos x)
What is f'(x) = 3x(2*cos x - x*sin x)
or 6x*cos x - 3x^2*sin x
300
The derivative to f(x) = cos (4x^2 - 6x)
What is f'(x) = (-sin (4x^2 - 6x))*(8x - 6)
300
Radric Davis
Who is Gucci Mane
400
The slope of the line tangent to f(x) = 4x^(3/2) at x = 9
What is 36
400
The x-value where the function f(x) = |x - 2| is not differentiable
What is 2
400
The derivative of f(x) = (x^(1/2))*(x^(1/3))
What is f'(x) = (x^(1/2)/3x^(2/3)) + (x^(1/3)/2x^(1/2))
400
The derivative to f(x) = sqrt(x^2)
What is f'(x) = (2x)/(2sqrt(x^2))
400
Aubrey Graham
Who is Drake
500
The equation of the line tangent to f(x) = 8x - 2x^2 at
(3,6).
What is y = -4x + 18
500
The function (3x - 2)/(x + 3) is differentiable at -3
What is false
500
The derivative to f(x) = (ln x)*(e^x)
What is f'(x) = e^x(ln x + 1/x)
or (ln x * e^x) + (e^x/x)