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I know that vocab!
Also known as the instantaneous rate of change...
Miscellaneous
Integrals
Pick a rule!
100
This math subject is a method of calculation, especially one of several highly systematic methods used to treat problems by a special system of algebraic notations.
What is calculus.
100
Derivative of: 7
What is: 0
100
The process of finding the derivative of a function is called this.
What is differentiation.
100

∫3xdx

What is: 3/2x^2 + C

100

The rule needed to differentiate f(x)=x^5

What is the power rule.

200
This is the value that a function approaches as the input approaches a value.
What is a limit.
200
Derivative of: x^3 + 5x^2 + x + 1
What is: 3x^2 + 10x + 1
200
When you integrate, you find this under the graph of a function bounded by a closed interval.
What is area.
200

∫x2.1dx

What is: (1/3.1)x3.1 + C

200

The rule needed to integrate F(x)=cos(4x)

What is substitution.

300

This notation is named after a famous mathematician. Example: d/dx(x^2) = 2x

What is Leibniz notation

300

Derivative of: ln(x+1)

What is: 1/(x+1)

300

If a velocity function crosses the x-axis, its integral represents this.

What is displacement

300

∫sec^2(x)dx

What is: tan(x) + C

300

The rule needed to differentiate f(x)=sin(7x+5)

What is the chain rule

400

The first ______ of position gives me 'velocity.' The second of these gives me 'acceleration'.

What is a derivative.

400

Derivative of: tan(2x)

What is: sec^2(2x)*2x*ln2

400

The limit of the slope of a secant line as the distance between the two points approaches zero is this.

The slope of the tangent line

400

∫2x*ln(4x)dx

x2*ln(4x)-(x2/2)+C

400

The rule needed to differentiate f(x)-g(x)

What is the derivative of sums and differences

500
This rule/method is used to find the derivative of a composition of functions.
What is the Chain Rule.
500

Derivative of: 5e4x-sin(4x)

What is: 20e4x-4cos(4x)

500
DAILY DOUBLE The two mains branches of calculus are differential and this.
What is integral.
500

∫ex * cos(2ex) dx

(1/2)sin(e2x)+C

500
The rule needed to integrate F(x)=lnx

What is integration by parts