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Computing Derivatives
Home
Calculus
Computing Derivatives
Exercises
Implicit Differentiation Exercises
Using Leibniz Notation Exercises
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Derivative of a Sum (or Difference) of Functions
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Derivatives of Those Other Trig Functions
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The Chain Rule
Derivatives of Inverse Trigonometric Functions
The Chain Rule in Leibniz Notation
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Thinking Backwards
Implicit Differentiation
Using Leibniz Notation
Using Lagrange Notation
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Page (4 of 5) Exercises:
1
2
3
4
5
Exercise 4
y
^{3}
+
x
^{2}
y

x
=
y
Answer
Take derivatives of both sides, remembering to use the chain rule and product rule where necessary:
Now move all the
terms on one side, factor, and solve:
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