Video Description

We will find the second derivative of sin(x^2) but with a limit definition that you probably haven't seen before! This took me 32 minutes! 0:00 finding the second derivative of sin(x^2) but no differentiation shortcuts 0:54 Definition of derivative, symmetric derivative, and second symmetric derivative in terms of limits 7:46 The real action!! 9:08 The formula for sin(A)+sin(B) 12:01 Back to the limit 29:50 Check the answer! Check out my 100-limit video for more calculus limit practice. https://youtu.be/TglD4Y6lmQk?si=lR_jfa-gI8FVO7VS ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: https://amzn.to/3qBeuw6 💪 Get my math notes by becoming a patron: https://www.patreon.com/blackpenredpen #blackpenredpen #math #calculus #apcalculus