Differentiate f(x)=4x⁴−3x²+7.
Use the lesson example and name the rule before calculating.
Unit 05 · Foundation Pathway
Differentiation Rules & Higher Derivatives
How do derivative rules make complex rates of change efficient, interpretable, and verifiable?
Khaemenes Academy · Calculus I
Foundation Practice
Differentiation Rules & Higher Derivatives · Show reasoning, notation, intervals, units, and corrections.
Name
Date
Differentiate x^(−3).
Use the lesson example and name the rule before calculating.
Differentiate 5.
Use the lesson example and name the rule before calculating.
Differentiate (x²+1)(x³−2).
Use the lesson example and name the rule before calculating.
How can a symbolic derivative be checked?
Use the lesson example and name the rule before calculating.
Differentiate 3sin x−2cos x.
Use the lesson example and name the rule before calculating.
Differentiate tan x.
Use the lesson example and name the rule before calculating.
Differentiate e^x.
Use the lesson example and name the rule before calculating.
Differentiate 5e^(−2x).
Use the lesson example and name the rule before calculating.
Differentiate log₁₀x.
Use the lesson example and name the rule before calculating.
For the same s(t), find a(t).
Use the lesson example and name the rule before calculating.
Explain the units of acceleration.
Use the lesson example and name the rule before calculating.