Implicit Differentiation Worksheet
A Grade 10 Calculus worksheet on implicit differentiation, covering finding derivatives of implicitly defined functions.
Includes
4 Short AnswerTrue / FalseMultiple Choice
Standards
CCSS.MATH.CONTENT.HSF.IF.C.7CCSS.MATH.CONTENT.HSF.BF.B.4.A
Topics
CalculusImplicit DifferentiationDerivativesHigh School Math
8 sections · Free to use · Printable
Implicit Differentiation Practice
Name:
Date:
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Read each question carefully and show all your work. Find dy/dx for each implicitly defined function.
1. Find dy/dx for the equation: x² + y² = 25
2. Find dy/dx for the equation: xy = 12
3. Find dy/dx for the equation: sin(y) = x
4. Find dy/dx for the equation: x³ + y³ = 6xy
5. Implicit differentiation is only used when y cannot be explicitly expressed as a function of x.
T
True
F
False
6. Which of the following equations would typically require implicit differentiation to find dy/dx?
a
y = x² + 3x
b
y = eˣ
c
x² + y² = 9
d
y = ln(x)