Lead AI Strategy with UCSB's Agentic AI Program — Microsoft Certified
MIT Sloan: Lead AI Adoption Across Your Organization — Not Just Pilot It
Overview
Google, IBM & Meta Certificates — All 10,000+ Courses at 40% Off
One annual plan covers every course and certificate on Coursera. 40% off for a limited time.
Get Full Access
Master implicit differentiation, a crucial calculus technique for finding derivatives when y cannot be easily isolated from complex equations involving powers, products, or trigonometric functions. Learn the fundamental habit of differentiating y and multiplying by y′, then apply this method alongside power, product, and quotient rules to solve challenging problems. Practice finding slopes and tangent line equations at specific points, identifying horizontal and vertical tangents, and computing second derivatives efficiently. Work through AP Calculus exam-style free response questions that demonstrate real test scenarios, including problems with chains like y², xy, and x sin y. Develop strategic algebraic approaches that make implicit differentiation automatic and build confidence for AP exam success through comprehensive coverage of all essential problem types you'll encounter.
Syllabus
0:00 Skip solving y: go implicit
0:37 Build the core habit
2:42 Use power, product, and quotient rules together with implicit differentiation
7:07 FRQ: Find slope at a point and the tangent line equation
9:23 FRQ: Find horizontal and vertical tangents
11:49 FRQ: Compute the second derivative y'' quickly
14:58 Summary of tips for the AP exam
Taught by
Krista King