# Worksheet 2.6 The Chain Rule

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**Worksheet 2.6 The Chain Rule**. For example, the derivative of sin(log(x)) is cos(log(x))=x. On completion of this worksheet you should be able to use the chain rule to differentiate functions of a function.

Listen to your ta’s instructions. Composition of functions derivative of inside function f is an antiderivative of f integrand is the result of Worksheet 2.6—the chain rule short answer show all work, including rewriting the original problem in a more useful way.

### (You Do Not Need (O Simplify Your Final Answers Here.) (Y Rewviìe'.

Y'= 20 sec 5xtan 5x 3. Continue in this manner until you complete the circuit. Y =− ()1 x3 11.

### Y'= 3Sec 2 3X 2.

Then add up the derivatives. Composite functions will be given to the students and they will. (a) ℎ′( )=2 ( )ln2⋅ ′( ) ℎ′(−1)=2 (−1)ln2⋅ ′(−1) 3=2ln2⋅2 = ==16ln2 (b) ℎ′( )= ′( )+2( ( )) ( ) ℎ′(3)= ′(3)+2( (3.

### Some Of The Worksheets Below Are Chain Rule Worksheets With Answers Usage Of The Chain Rule To Obtain The Derivatives Of Functions Several Interesting Chain Rule Exercises With Step By Step Solutions And Quizzes With Answers.

Worksheet 2.6—the chain rule short answer show all work, including rewriting the original problem in a more useful way. Chain rule period show all work, including rewriting the original problem in a more useful way. (you do not need to simplify your final answers here.) (a) yx=(27−)3 (b) 2 1 31 y tt = + − (c) 1 2 3 y t ⎛⎞

### Chain Rule Practice #2 Answers 1.

F x 3x 2 10 5×2 x 112 6. Find the derivative of the following functions with respect to the independent variable. Free trial available at kutasoftware.com

### Find The Derivative Of The Following Functions With Respect To The Independent Variable.

Composition of functions derivative of inside function f is an antiderivative of f integrand is the result of Y = tan (cos ) 3. Worksheet 2.6—the chain rule short answer show all work, including rewriting the original problem in a more useful way.

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