Antiderivatives
Limits
Derivatives
Theorems
Definitions
100
The antiderivative of 2x(no need for "C")
What is x2?
100
lim x->1 3x+2
What is 5?
100
The derivative of 5x3
What is 15x2?
100
The theorem represented by the formula f'(c)= (f'(b)-f'(a))/(b-a)
What is the Mean Value Theorem(MVT)?
100
The magnitude of a number regardless of positive or negative
What is the absolute value?
200
The antiderivative of ex(no need for "C")
What is ex?
200
lim x->4 2x2-6x+9
What is 17?
200
The derivative of x3+3x2-6x
What is 3x2+6x-6?
200
The theorem represented by the formula
What is the Chain Rule?
200
The instantaneous rate of change of a function with respect to one of its variables
What is a derivative?
300
The antiderivative of x4+x2(no need for "C")
What is (x5/5)+(x3/3)?
300
lim x->0 (1-cos(x))/x
What is 0?
300
The derivative of cos(x)+cot(x)
What is -sin(x)-csc2(x)?
300
The theorem represented by the formula d/dx(xn)=nxn-1
What is the Power Rule?
300
A function whose derivative exists at all points in its domain
What is a differentiable function?
400
The antiderivative of ln(x)/x(no need for "C")
What is (1/2)ln2(x)?
400
lim x->∞ 6*4x/4x-10
What is 6?
400
The derivative of 8xtan(x)
What is 8xsec2(x)+8tan(x)?
400
The theorem represented by the formula d/dx[f(x)⋅g(x)]=d/dx[f(x)]⋅g(x)+f(x)⋅d/dx[g(x)]
What is the Product Rule?
400
A mathematical term that can be interpreted as an area or a generalization of area
What is an integral?
500
The antiderivative of ln(x)e/2(no need for "C")
What is ex(ln(x)-1)/2?
500
lim x->-∞ 3*4x/tan-1(x)
What is 0?
500
The derivative of (e3x-cot-1(x))/log4(2x)
What is ((3e3x+1/(1+x2))(log4(2x))-(e3x-cot-1(x))(1/xln(4)))/(log4(2x))2?
500
The theorem represented by the formula
What is L'Hôpital's rule?
500
The finding and properties of derivatives and integrals of functions
What is Calculus?