Derivatives
It is the rule used to differentiate a polynomial
What is the power rule
The integral that matches a single solution
What is Particular Integration
d/dx f(g(x)) = f'(g(x))g(x)
What is the Chain Rule for derivatives
∫(x)dx
What is 1/2x2 + C
Function that gives the slope of another function at any given point
What is a derivative
The derivative of 3x
What is 3
What is +C
| g(x)f'(x)-f(x)g'(x)) |
| [g(x)]2 |
What is the Quotient Rule for derivatives
∫x2 dx
What is 1/3x3 + C
Indefinite integral of a function
What is anti-derivative
It is the derivative of 8x2
What is 16x
It is the antiderivative of 16x
What is 8x2
d/dx [xn ]= nx(x-1)
What is the Simple Power Rule for Derivatives
Derivative of: x3 + 5x2 + x + 1
What is 3x2 + 10x + 1
Where a graph crosses an axis
What is an intercept
The derivative 2x7/2
What is 7x5/2
∫ 15x4 dx
What is 3x5+C
What ln xy evaluates to
What is ln x + ln y
The process of finding the derivative of a function is called this.
What is differentiation
It describes a function that has no gaps, holes, or asymptotes
What is continuity
Derivatives help us find this on a graph
What is slope
∫ -3x2 dx
What is -x3 +c
lim(x→0)(1+x)1/x
What is e
The derivative of 10,930,123,900,293
What is 0
Peaks and valleys of a graph
What is relative extrema