Derivative curve review
Suppose the initial guess for solution is x = 15
Locate point on curve
Draw tangent line to curve at the point
Next guess is point where tangent line intersects x-axis
(x = 32.1)
New guess for root is x = 32.1
Locate point on curve
Derivative quiz review
Suppose the initial guess for solution is x = 15
Locate point on curve
Draw tangent line to curve at the point
Next guess is point where tangent line intersects x-axis
(x = 32.1)
New guess for root is x = 32.1
Locate point on curve
Derivative matlab review
In MATLAB:
> PL = sym('V^2/(Rs+RL)^2*RL')
PL = (RL*V^2)/(RL + Rs)^2
> der = diff(PL,'RL')
der = V^2/(RL + Rs)^2 - (2*RL*V^2)/(RL + Rs)^3
> result = solve(der=0,'RL')
result = Rs
How do we know if RL = Rs maximizes the power to loa
Derivative estimation review
Estimating Derivatives from actual data.
Finding values for variables to maximize or minimize some function.
Mathematical modeling and simulation of physical phenomenon.
Newton-Raphson Method for Solving Equations
If you
Derivative radio review
FM Radio
Satellite TV
Cell Phones
Radar Tracking and Identification
If we can find a way to track the general shape of the amplitude of our
signal, we can get our message signal back (after some minor adjustments)
There is a
Derivatives math functions review
Mathematical Functions
Definition: A function is a mathematical relationship between an input
(independent) variable and an output (dependent) variable
Examples
Which of the following expressions are functions?
1. y = x
Derivative voltage review
What is the voltage across the Inductor?
So, once the current stops changing, the voltage across the inductor drops to zero.
What happens when the switch is opened?
The sudden drop in current induces a very large voltage across t
Derivative toolbox review
Differentiation Using Symbolic Toolbox
The symbolic toolbox has a function, diff, that will symbolically determine the
derivative of a function.
> my_function = sym('t^3-3*t^2')
my_function = t^3 - 3*t^2
> first_der = diff(my_fu
Derivative term review
Suppose we have collected position data every 0.1 seconds and wish to estimate
velocity (1st derivative of position) at t = 3.
Straight Lines such as y = 7t + 12
Places where the function stays constant such as
y(t) = 15 for 0 < t <