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I Will Derive!
MindOfMatthew
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โช
At first I was afraid, what could the answer be?
It said given this position find velocity
So I tried to work it out, but I knew that I was wrong
I struggled; I cried, "A problem shouldn't take this long!"
I tried to think, control my nerve
It's evident that speed's tangential to that time-position curve
This problem would be mine if I just knew that tangent line
But what to do? Show me a sign!
So I thought back to Calculus
Way back to Newton and to Leibniz
And to problems just like this
And just like that when I had given up all hope
I said nope, there's just one way to find that slope
And so now I, I will derive
Find the derivative of x position with respect to time
It's as easy as can be, just have to take dx/dt
I will derive, I will derive. Hey, hey!
โช
And then I went ahead to the second part
But as I looked at it I wasn't sure quite how to start
It was asking for the time at which velocity
Was at a maximum, and I was thinking "Woe is me."
But then I thought, this much I know
I've gotta find acceleration, set it equal to zero
Now if I only knew what the function was for a
I guess I'm gonna have to solve for it someway
So I thought back to Calculus
Way back to Newton and to Leibniz
And to problems just like this
And just like that when I had given up all hope
I said nope, there's just one way to find that slope
And so now I, I will derive
Find the derivative of velocity with respect to time
It's as easy as can be, just have to take dv/dt
I will derive, I will derive
โช
So I thought back to Calculus
Way back to Newton and to Leibniz
And to problems just like this
And just like that when I had given up all hope
I said nope, there's just one way to find that slope
And so now I, I will derive
Find the derivative of x position with respect to time
It's as easy as can be, just have to take dx/dt
I will derive, I will derive, I will derive!
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