Using first principles, find f'(2) for f(x)=x².
Use the lesson example and name the rule before calculating.
Unit 04 · Foundation Pathway
The Derivative from First Principles
How does the limiting slope of secant lines define instantaneous change?
Khaemenes Academy · Calculus I
Foundation Practice
The Derivative from First Principles · Show reasoning, notation, intervals, units, and corrections.
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If position is measured in meters and time in seconds, give velocity units.
Use the lesson example and name the rule before calculating.
Write the tangent-line equation to y=x² at x=1.
Use the lesson example and name the rule before calculating.
What feature of f often corresponds to a zero of f'?
Use the lesson example and name the rule before calculating.
Name a point where |x| is not differentiable.
Use the lesson example and name the rule before calculating.
Write the tangent-line equation to y=x² at x=1.
Use the lesson example and name the rule before calculating.
If position is measured in meters and time in seconds, give velocity units.
Use the lesson example and name the rule before calculating.
What does f'(a)>0 indicate locally?
Use the lesson example and name the rule before calculating.
Using first principles, find f'(3) for f(x)=x².
Use the lesson example and name the rule before calculating.
If position is measured in meters and time in seconds, give velocity units.
Use the lesson example and name the rule before calculating.
Write the tangent-line equation to y=x² at x=1.
Use the lesson example and name the rule before calculating.
What feature of f often corresponds to a zero of f'?
Use the lesson example and name the rule before calculating.