"The Instantaneous Rate of Change" lyrics Driving to school,
Yeah I know you ain’t no fool,
You’re just tryna pass this class,
But sadly you don’t know math.
Listen to my rap,
Maybe it’ll make you laugh,
I’ll teach you some math,
So you don’t have to half ass this class.
If you wanna learn derivatives,
It ain’t too bad.
Imma tell you all of the steps
so that I can help you pass.
First off, It’s the instantaneous rate of change.
Remember, it’s the instantaneous rate of change.
The difference is it’s at a point
And not in between two joints.
It’s the slope of a tangent line,
One that we can define.
To a point on the graph
Just keep this frame of mind
You don’t need no monograph,
First look at what the equation that you’re given is
What rule will help you solve this shiz?!
The power, the product and even quotient rule.
These three rules are just some derivative helping tools.
Don’t forget, It’s the instantaneous rate of change.
Remember, it’s the instantaneous rate of change.
The first step to not being a fool,
Is to remember the power rule.
You pull the exponent from the top,
Drop it in the front of the coefficient with no second thought.
Then multiply the numbers and see what you got,
When you put that number in the right spot.
Right after you do that, subtract the initial exponent value by one.
Isn’t the power rule easy and fun?!
Don’t forget, It’s the instantaneous rate of change.
Remember, it’s the instantaneous rate of change.
The second step to not being a fool,
Is to remember the product rule.
The product rule is used to find the derivatives of equations that have two variables multiplied together.
To make it easier for you,
I’m gonna spot the two variables and circle them for you.
Take the derivative of the first and multiply it with the original of the second.
This is only the beginning, but don’t give up, i beckon!
Moving on, write a plus sign after the result you get,
Now, take the derivative of the second and multiple it with the original of the first.
It’s as simple as that; didn’t the product rule quench your derivative thirst?!
Don’t forget, It’s the instantaneous rate of change.
Remember, it’s the instantaneous rate of change.
The third and final step to not being a fool,
Is to remember the quotient rule.
To begin with, the quotient rule is used to find the derivatives of fraction equations.
Let’s start by calling the numerator “high” and the denominator “low.”
Multiply low with the derivative of high,
Subtract that with the the product of high and the derivative of low.
Now draw a big ass line beneath this equation bro.
‘Cause now in the denominator you gotta multiply low with low.
Don’t forget, It’s the instantaneous rate of change.
Remember, it’s the instantaneous rate of change.
Don’t forget, It’s the instantaneous rate of change.
Remember, it’s the instantaneous rate of change.
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