Limits
Limit of (8-3x+12x2) as x approaches 2
What is 50?
The derivative of 2x2+3
What is 4x?
The integral of 6x5-18x2+7dx
What is x6-6x3+7x+c?
x 0 1 2 3 4
f(x) 3 5 6 9 11
Left Riemann sum using four subintervals from 0 to 4.
What is 23?
The theorem that states: If a function f (x) is continuous on a closed interval [a, b], then f (x) has both maximum and minimum value on [ a, b].
What is the Extreme Value Theorem?
Limit of (x2-1)/((2x+4) as x approaches 2+
What is 3/8?
The derivative of lnx
What is 1/x?
Integral of (4/x2)-(1/8x3)dx
What is -4x-1+(x-2/16)+c?
The equation to find the area from 0 to 2 of y=4ln(3-x) bounded by the x axis, the y axis, and the line x=6.
What is ∫20 6-4ln(3-x)dx?
The derivative of velocity.
what is acceleration?
Limit of (2x4-8x+4)/(5x4-7) as x approaches infinity
What is 2/5?
The derivative of (4x2+1)(2x-5)
What is 24x2-40x+2?
Integral of sin(x)+10csc2(x)dx
What is -cos(x)-10cot(x)+c?
The equation of the area of y=2(x1/2) bounded by the x axis, y axis, and y=6
What is ∫90 6-2x1/2?
Critical number(s) for the function f(x)= (x-1)/(x+3)
What is -3?
Limit as x approaches 1: (x2-4x+3)/(x-1)
What is -2?
The derivative of 5x2/(x3+1)
What is (-5x(x3-2))/(x3+1)2
Integral of e5x+2dx
What is 1/5(e5x+2)+c?
The equation of the volume of the solid formed rotating the region bounded by the x axis, y=x1/2, and x=4 around the x axis
pi∫40 xdx
The x-coordinate for of the absolute minimum of
f(x)=x3-x2-x+1 on the interval [-2, 0]
What is -2?
Limit as x approaches 2: (x2+x-6)/(x2-4)
What is 5/4?
The derivative of (2x2+8)2
What is 16x3+64x or 16x(x2+4)?
Integral from 1 to 4 of 5x2-8x+5dx
What is 60?
pi∫20 4-(x2-2x+2)2dx
d2y/dx2 of f(x)= sin(2x3-9)
g’’(x)= 12xcos(2x3-9x)-(6x2-9)