Calculus Vocab
Derivatives
Miscellaneous
Integrals
Calculus History
100

This branch of mathematics deals with finding derivatives and integrals of functions by methods originally based on the summation of infinitesimal differences.

What is calculus.

100
Derivative of: 7
What is: 0
100
When you integrate, you find this under the graph of a function bounded by a closed interval.
What is area.
100
∫sin(x)dx
What is: -cos(x) + C
100
Calculus is the mathematical study of this.
What is change.
200
This is the value that a function approaches as the input approaches a value.
What is a limit.
200

Derivative of: x3 + 5x2 + x + 1

What is: 3x2 + 10x + 1

200

\frac{d}{dx} (\sin^2x +cos^2x)

What is zero?

200
∫(x)dx
What is: 1/2x^2 + C
200
The word "calculus" comes from this language and means a small stone used for counting.
What is Latin.
300
This theorem states that given a planar arc between two endpoints, there is at least one point at which the tangent to the arc is parallel to the secant through its endpoints
What is the Mean Value Theorem.
300

Derivative of: ln|x|

What is: 1/x

300

Given f(x)=x^3\sqrt{2-x}, the critical numbers are...

What is differentiation?

300
∫sec^2(x)dx
What is: tan(x) + C
300
This notation is named after a famous mathematician. Example: d/dx(x^2) = 2x
What is Leibniz notation.
400
The first of these can solve for 'velocity' as well as the second for 'acceleration'.
What is a derivative.
400

Derivative of: tan(x)

What is: sec2(x)

400

The limit as x approaches a number if the function oscillates around the number is said to be this.

What is undefined?

.

400
∫(1/x)dx
What is: ln(x) + C
400
Gottfried Leibniz and this British scientist are credited with the invention of calculus.
Who is Isaac Newton.
500
This rule/method is used to find the derivative of a composition of functions.
What is the Chain Rule.
500

Derivative of: sin x - sinh(x)+sin-1(4x2)

What is: 

\cos x - \cosh(x)+\frac{8x}{\sqrt{1-16x^4}

500

To find the derivative of the inverse function 

(f^{-1})'f(x) =

What is

\frac{1}{f'(x)}

?

500
∫(x^2)dx
What is: 1/3x^3 + C
500
Many mathematical ideas, including calculus, are said to have been started by this Greek philosopher around 580-500 B.C.
Who is Pythagoras.
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