Differentiation

(Verse 1) In the world of math, where functions grow, Differentiation helps us know, How things change, how they flow, With the derivative, watch it go. (Chorus) Differentiate, it's so great, Find the slope, it's your fate, dee dee ex, the rate we state, Math is fun, let's celebrate! (Verse 2) Take a function, eff of ex it's named, Apply the rules, don’t be ashamed, Power rule, product too, Quotient, chain, we'll get through. (Pre-Chorus) The power rule, it’s a breeze, Just multiply, then decrease, For eff of ex equals ex to the en, you see, dee dee ex of ex to the en is en ex to the en minus one, that's the key. (Chorus) Differentiate, it's so great, Find the slope, it's your fate, dee dee ex, the rate we state, Math is fun, let's celebrate! (Bridge) For products, use this trick, dee dee ex of you vee, Is you prime vee plus you vee prime, you'll see. Quotient rule, don’t be quick, dee dee ex of you over vee, Is you prime vee minus you vee prime, All over vee squared, you see. (Chain Rule) When you have a function inside another function, The chain rule goes like this: dee dee ex of gee of eff of ex, Is equal to gee prime of eff of ex times eff prime of ex. (Chorus) Differentiate, it's so great, Find the slope, it's your fate, dee dee ex, the rate we state, Math is fun, let's celebrate! (Outro) Now you know how functions change, With differentiation, it’s not so strange, Solve the problems, rearrange, In the math world, you can range.