Mathematicians
By expanding a function into an infinite polynomial using derivatives, this mathematician was able to estimate values from it.
Who was Taylor?
This method of estimating integrals requires drawing rectangles or trapezoids.
What is a Riemann sum?
A first derivative graph that is positive would be this on the graph of the original.
What is increasing?
When the p value is greater than this, the series converges.
What is 1?
Creator of a formula to estimate the error of a Taylor Series.
Who was Lagrange?
You can find the rate of change for one quantity related to the rate of change of another quantity within a shape using this concept.
What are related rates?
The second derivative of a position equation gives you the.
What is acceleration?
You are unable to prove this using the nth term test.
What is convergence?
This person took credit for centering a Taylor Series around 0.
Who was Maclaurin?
The formula for this type of integration is sometimes known as Ultraviolet Voodoo.
What is integration by parts?
The integral of speed gives you this.
What is distance?
The sum of this type of series can be found using the first term divided by 1 minus the radius?
What is a geometric series?
This wild haired individual invented a way to solve indeterminate limits using derivatives.
Who was L'Hopital?
This theorem states that one point between two endpoints will have the same slope as the entire interval.
What is the Mean Value Theorem?
If the second derivative is negative, then that section of the original graph would be.
This test requires replacing all n's with n+1, then dividing tat by the original and then taking the limit to infinity.
What is the ratio test?
This mathmetician invented the process used in the movie Hidden Figures that found a solution for difference of orbit of the capsule.
Who was Euler?
The integral of radical one plus the derivative squared gives you.
What is Arc Length?
When the second derivative changes signs, the original graph has a.
What is point of inflection?
This is the specific type of series you get when p=1.
What is harmonic series?