Chain Rule Examples

Chain Rule

Differentiate cos(x3) using the Composite Chain Rule

Note: Here we will have to identify our inner and outer functions.

The solution to finding the derivative of cos(x^3)

The Chain Rule with Leibniz and Composite

Question asking for the derivative of y = e^(sinx) to be found using both the Leibniz and Composite Chain Rule
Solution to finding the derivative of y = e^(sinx) using the Leibniz Chain Rule
Solution to finding the derivative of y = e^(sinx) using the Composite Chain Rule
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The Chain Rule with Leibniz and Composite

Follow the steps to the worked examples below that show the use of the Leibniz and Composite Chain Rules to find derivatives of functions.

The solution to finding the derivative of sin(2x + 1) using the Leibniz Chain Rule
The solution to finding the derivative of sin(2x + 1) using the Composite Chain Rule

The solution to finding the derivative of e^(4a) using the Leibniz Chain Rule
The solution to finding the derivative of e^(4a) using the Composite Chain Rule
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