Lesson 3 Definition of Derivatives Flashcards
1
Q
msec
A
y2 - y1/x2 - x1 = f(b) - f(a)/b - a
2
Q
Difference Quotient
A
f(a+h)-f(a)/ h
3
Q
Slope of the secant line
A
average rate of change = difference quotient
4
Q
Slope of the tangent line
A
instantaneous rate of change = derivative
5
Q
f’(x) and d/dx(f(x))
A
Both mean the “derivative of the function f with respect to the variable x.”
6
Q
y’ and dy/dx
A
Mean “the derivative of y with respect to x”
7
Q
The derivative of f(x) is given by f’(x)
A
𝑚𝑡𝑎𝑛 = lim f(x+h)-f(x)/h
