Putting it all together! In this video, we tackle the ultimate Calculus I challenge: Curve Sketching.
We take a complex function and analyse every single part of it to draw a perfect graph without using a calculator.
In this complete walkthrough, we will cover:
Step 1: Domain: Check the domain of the function
Step 2: Positivity: Find where the function is positive or negative
Step 3: Limit at the extreme of the domain: horizontal and vertical asymptote
Step 4: Local Extrema: Using the Quotient Rule to find critical points and intervals of increase/decrease.
Step 5: The Sketch: Bringing all the clues together to draw the final graph.
This video is the "Capstone" of our Calculus I module. It combines limits, differentiation rules, and the max/min tests into one big problem. Need a refresher on the steps?
Watch the Limits & Asymptotes video here: https://www.youtube.com/watch?v=Z-GlJfw-mKE&t=4s
Watch Max/Min Theory here: https://www.youtube.com/watch?v=1XrJ14ghxPk
Watch Max/Min Exercise here: https://www.youtube.com/watch?v=FyR_lq48u_A
If you are preparing for your final calculus exam, this is the perfect review. Leave a like if it helps!
Grab your pen and paper—this is a big one!
