A line that touches a curve at a point without crossing over. Formally, it is a line which intersects a differentiable curve at a point where the slope of the curve equals the slope of the line.
What is a tangent line?
100
derivative of sin(x)
What is the cos(x) ?
100
I'm what others call a slippery slope. However, I'm not into corners and cusps.
What is a derivative?
100
When using the power rule the derivative of x^n is
What is nx^(n-1) ?
100
d/dx X
F f(t) dt= f(x)
A
What is the fundamental theorem of calculus?
200
Pi times Radius squared is a formula to the...
What is area of a circle?
200
The average rate of change on [a,b] (slope formula-show 2 differences and the quotient)
What is f(b)-f(a)/b-a?
200
If you ever fail to come up with the length times width under a function, I am the smooth curve and give you an answer.
What is an intergral?
200
When you differentiate the outside and keep the inside then do the same for the inside, it looks a little something like this [f(g(x))]′ = f′(g(x))×g′(x).
What is the Chain Rule?
200
By drawing multiple of a certain shape and you can get the area under an integral. But first you need to know this [1/2 h (b1+b2)]
What is the area of a trapezoid?
300
sin(30°)
What is one half?
300
This is the result when you differenciate organic lumber of x
What is the 1/x?
300
As the fifth letter in the alphabet it has quite a large impact on the Latin based languages but fails to make much on an impact when taking integrals or derivatives.
What is e?
300
When you take a derivative and you get the in determinant form you can use this to make your solution a little less sick.
What is L'Hopitals's Rule?
300
-cos(x)+c
What is f sin(x)dx?
400
2sin(x)cos(x)
What is sin(2x)?
400
If the function f(x) is continuous on [a,b] and the first derivative exists on the interva (a,b), then there is at least one number x=c in (a,b) such that;
f'(c)=f(b)-f(a)
b-a
What is Mean Value Theorem?
400
See, my left and right don't shake hands. The feud is so strong it was referenced in Mean girls. So when this happens, this is said...
What is "The Limit does not exist"?
400
The integral of a^x dx
What is A^x/ lna +c?
500
tan(90°)
What is ∞?
500
Let f be the function with derivative given by f'(x)=x^2-2/x. On which of the following intervals is f decreasing
What is (0,2^(2/3)]?
500
it means nothing
What is null?
500
A point of discontinuity for f(x)=(x^2-4)/(x^2+2x-3) is...
What is -3?
500
The area under the curve with respect to the x-axis and f(x)=(64-x^2)^(1/2)