Derivatives
y = 4x4
y' =
y = 4x4
y' = 16x3
d/dx[sin(x)] =
d/dx[sin(x)] = cos(x)
find the indefinite integral of x2dx:
find the indefinite integral of x2dx:
x3/3 + C
y = tan(x)
y' =
y = tan(x)
y' = sec2(x)
d/dx[cos(x)] =
d/dx[cos(x)] = -sin(x)
What is the area under the curve of the function f(x) = 2x, from x=1 to x=4 ?
What is the area under the curve of the function f(x) = 2x, from x=1 to x=4 ?
F(x) = (4)2 - (1)2 = 15 units2
y = cos(2x3)
y' =
y = cos(2x3)
y' = -6x2sin(2x3)
d/dx[2xsin(5x)] =
d/dx[2xsin(5x)] =
2sin(5x) + 10xcos(5x)
What is the area under the curve of the function f(x) = x2, from x = 3 to x = 4 ?
What is the area under the curve of the function f(x) = x2, from x = 3 to x = 4 ?
43/3 - 33/3 = 37/3
Country hangman: _ _ _ _ _
y = x2sec(x)
y' =
y = x2sec(x)
y' = 2xsec(x) + x2sec(x)tan(x)
Find the relative extrema of x3 - 5x2 + 2
(specify minimum or maximum; you don't need to include y-values)
Find the relative extrema of x3 - 5x2 + 2
(specify minimum or maximum; you don't need to include y-values)
r. min: x = 10/3
r. max: x = 0
Compute the area under the curve of sin(x) from 0 to Pi/4.
Compute the area under the curve of sin(x) from 0 to Pi/4.
Antiderivative of sin(x) = -cos(x)
-cos(Pi/4) - (-cos(0)) = -sqrt(2)/2 + 1
Name every team in the 2024 NBA playoffs
Name every team in the 2024 NBA playoffs
East: Celtics, Knicks, Bucks, Cavs, Magic, Pacers, 76ers, Heat
West: Thunder, Nuggets, Wolves, Clippers, Mavs, Suns, Lakers, Pelicans