Calculus Flashcards
1
Q
What is calculus
A
Calculus is the mathematics of change
2
Q
What is a secant
A
A secant is a line joining two distinct points on a curve.
The secant’s slope gives us the rate of change between two points.
3
Q
What is the formula of slope
A
( f(b) - f(a) ) / ( b - a )
a and b should should to “very close” to approximate the change. If they are far, it will give incorrect value.
The tangent’s slope approximates the rate of change for a function at a point
4
Q
What is a derivative
A
Derivative of a function at x is the slope of tangent as b approaches a
5
Q
When derivative/slope is 0 what does it mean
A
The point is maxima or minima of the function
