Differentiate (x²+1)^3.
Use the lesson example and name the rule before calculating.
Unit 06 · Foundation Pathway
Chain Rule, Implicit & Inverse Functions
How do nested, implicit, and inverse relationships change the way derivatives are calculated and interpreted?
Khaemenes Academy · Calculus I
Foundation Practice
Chain Rule, Implicit & Inverse Functions · Show reasoning, notation, intervals, units, and corrections.
Name
Date
Differentiate √(1+x³).
Use the lesson example and name the rule before calculating.
Differentiate ln(5x−1).
Use the lesson example and name the rule before calculating.
Differentiate sin(3x).
Use the lesson example and name the rule before calculating.
Identify outer and inner functions in cos(x²+4).
Use the lesson example and name the rule before calculating.
Differentiate ln(5x−1).
Use the lesson example and name the rule before calculating.
Differentiate xy=6 implicitly.
Use the lesson example and name the rule before calculating.
For x²+y²=25, find dy/dx.
Use the lesson example and name the rule before calculating.
Why does d(y²)/dx include y'?
Use the lesson example and name the rule before calculating.
Differentiate arctan x.
Use the lesson example and name the rule before calculating.
Differentiate y=(x²+1)^x in logarithmic form.
Use the lesson example and name the rule before calculating.
How is the result checked?
Use the lesson example and name the rule before calculating.