Derivatives
A function that models the slope of the curve for all x-values for which it exists.
What is a derivative?
Find this equation's derivative: 4x^3 + 7x^2 + 2x + 3
What is the derivative of 12x^2 + 14x + x ?
The difference between a sequence and a series
What is that sequence is a list of numbers while a series is a sum of numbers?
A line that passes through the curve at x=a and has a slope m=-1/F '(a).
What is a Normal Line?
Evaluate the following. ∫sin (x) + 2 dx
What is 2x - cos (x) + C
A known __________ of A(x) can be used to find a volume of a solid.
What is a cross section?
This is the derivative of arcsinx
What is 1/rad(1-x^2)
The coefficient of x^6 in the Taylor series expansion about x=0 for f(x)=sin(x^2)
What is -1/6?
The formulas used for converting polar coordinates to rectangular coordinates
What are
x = rcosθ
y = rsinθ
The 27th derivative of cos(x)
What is sin(x)?
The volume of the solid formed by revolving the region bounded by y=x1/2 and y=x2 around the x-axis from x=0 to x=1
What is V=3pi/10 ?
The formula for finding parametric speed
What is the integral of the square root of x'(t)^2 + y'(t)^2 ?