Calculus Teacher vs. Power Rule Student

Definition of derivative vs power rule! Want to learn more about calculus with visual and physical intuitions? Head to Brilliant https://brilliant.org/blackpenredpen/ (20% off with this link)

The definition of derivative is the foundation of differential calculus. However, many students tend to ignore it and want to use the "shortcuts" (differentiation rules such as the power rule). Not only do we need the definition of derivative whenever we need to determine the derivative of a function, but I also give a calculus 1 problem where using the definition of derivative is easier than using the differentiation rules!

Check out "when d/dx(x^2) becomes the hardest question on your calculus final": 👉    • calc 1 final be like (derivative of x^2)  
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