Derivative by Definition Worksheet
This worksheet focuses on understanding and applying the derivative by definition for Grade 11 Calculus students.
Includes
4 Short AnswerFill in the Blanks
Standards
CCSS.MATH.CONTENT.HSF.IF.B.4CCSS.MATH.CONTENT.HSF.BF.A.1
Topics
CalculusDerivativeDefinitionLimitsGrade 11
7 sections · Free to use · Printable
Derivative by Definition
Name:
Date:
Score:
Read each question carefully and show all your work. Use the definition of the derivative to solve each problem.
1. State the formal definition of the derivative of a function f(x).
2. The derivative of a function at a point gives the slope of the line to the function's graph at that point.
3. The derivative can be interpreted as the instantaneous of change.
4. Use the definition of the derivative to find f'(x) for the function f(x) = 3x + 5.
5. Find the derivative of g(x) = x² - 2x using the limit definition.
6. Apply the definition of the derivative to find the derivative of h(x) = 1/x.