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The Sum Rule.: Use of Product Rule

The document discusses rules for finding derivatives, including the sum, product, power, quotient, and chain rules. It provides examples of applying each rule to find the derivative of various functions, such as using the sum rule to take the derivative of f(x) = x^3 + 5x, the product rule for f(x) = x(x+3), and the chain rule for f(x) = (3x-1)^2.

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112 views2 pages

The Sum Rule.: Use of Product Rule

The document discusses rules for finding derivatives, including the sum, product, power, quotient, and chain rules. It provides examples of applying each rule to find the derivative of various functions, such as using the sum rule to take the derivative of f(x) = x^3 + 5x, the product rule for f(x) = x(x+3), and the chain rule for f(x) = (3x-1)^2.

Uploaded by

NagarajuRb
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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The Sum Rule.

Find The Derivative of:

Solution:

Using Sum Rule,

Using derivative of simple algebraic functions Rule,

so,

Use of Product Rule:

Find the derivative of:


Solution:

Use of Power Rule:

Find the derivative of:

Solution:
Use of Quotient Rule:

Find the derivative of:

Solution:

Let and
Then,

Use of Chain Rule:

Find if, and

Solution:

and

So,

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