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Unit: Derivative rules

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Basic differentiation rules

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Basic derivative rules: find the errorGet 3 of 4 questions to level up!
Basic derivative rules: tableGet 3 of 4 questions to level up!

Power rule

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Power rule (positive integer powers)Get 3 of 4 questions to level up!

Polynomial functions differentiation

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Differentiate polynomialsGet 3 of 4 questions to level up!
Tangents of polynomialsGet 3 of 4 questions to level up!

Quiz 1

Level up on the above skills and collect up to 400 Mastery points

Derivatives of negative and fractional powers with power rule

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Power rule (negative & fractional powers)Get 3 of 4 questions to level up!
Power rule (with rewriting the expression)Get 3 of 4 questions to level up!
Differentiate integer powers (mixed positive and negative)Get 3 of 4 questions to level up!

Derivatives of sin(x) and cos(x)

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Derivatives of sin(x) and cos(x)Get 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 320 Mastery points

Product rule

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Differentiate productsGet 3 of 4 questions to level up!
Product rule with tablesGet 3 of 4 questions to level up!

Quotient rule

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Practice

Differentiate quotientsGet 3 of 4 questions to level up!
Quotient rule with tablesGet 3 of 4 questions to level up!

Rational functions differentiation

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Practice

Differentiate rational functionsGet 3 of 4 questions to level up!

Quiz 3

Level up on the above skills and collect up to 400 Mastery points

Chain rule

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Practice

Identify composite functionsGet 3 of 4 questions to level up!
Chain rule introGet 3 of 4 questions to level up!
Chain rule with tablesGet 3 of 4 questions to level up!

Radical functions differentiation

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Worked example: Derivative of ∜(x³+4x²+7) using the chain rule
(Opens a modal)

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Differentiate radical functionsGet 3 of 4 questions to level up!

Trigonometric functions differentiation

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Practice

Derivatives of tan(x), cot(x), sec(x), and csc(x)Get 5 of 7 questions to level up!
Differentiate trigonometric functionsGet 3 of 4 questions to level up!

Strategy in differentiating functions

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Practice

Differentiating functions: Find the errorGet 3 of 4 questions to level up!
Manipulating functions before differentiationGet 3 of 4 questions to level up!

Quiz 4

Level up on the above skills and collect up to 640 Mastery points

Optional videos

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Up next for you:

Unit test

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About this unit

The definition for the derivative of a function is very important, but it isn't the fastest way for actually finding the derivative of various functions. In this unit we will learn the main rules in which we can apply to quickly find the derivatives of common functions.