Slopes and Derivatives
The Average Rate of Change of f(x) from 1<x<2
What is f(2)-f(1)/2-1?
The absolute minimum of y=(x-3)2+4.
What is (3,4)?
The most important letter of antidifferentiation.
What is the letter "c"?
The two indeterminate forms with which you can apply L'Hopital's Rule.
What are 0/0 and ∞/∞?
The variable used to replace x in polar.
What is theta?
The relationship between the slope of the tangent and the normal line at a given point.
What is the negative reciprocal?
The derivative of a^x.
What is a^x * ln a?
For the integral of f(x) with respect to x from a to b, what you call f(x).
What is the integrand?
The equation for the area of the graph of f(x) from a to b rotated around the x-axis.
What is a~b π(f(x))2 dx?
The variable used to replace y in polar.
What is r?
The slope of a curve y=f(x) at the point where x=a.
What is lim(h->0) f(a+h)-f(a)/h?
The derivative of logax.
What is 1/xln a?
Another name for the variable of integration.
What is the "dummy variable?"
The area of the graph of 4x3-9x2+7x-5 on the interval from 0 to 1, when rotated around the x-axis.
Calculator needed.
What is 39.330?
The number of petals on the graph of r=2sin 3θ.
What is 3?
How you correctly say "dy/dx"
The absolute maximum of y=-x4+3x3+3x2-7x+5.
Calculator needed.
What is (2.569,14.124)?
The equation for finding the next y value after a certain delta x using Euler's method.
What is y2=(dy/dx)(change in x)+y1?
The equation for the area of a washer on the interval from a to b of f(x) and g(x), if f(x) is greater.
What is a~b π(f(x))2-π(g(x))2 dx?
Another name for a Taylor Series about x=0.
What is a McLaurin Series?
The derivative of y=15x-4x+19x+36x-23x with respect to x @ x=7.
What is 43?
What is xx(ln x +1)?
Random Question:
The name of the man after whom Riemann sums were named.
Who is Georg Riemann?
The difference between the first form and the stronger form of L'Hopital's Rule.
What is the presence of the limit as x approaches a after the derivative has been taken?
The second degree Taylor Polynomial for y=sinx at x=0.
What is T(x)=x?