Calculus/Differentiation/Basics of Differentiation/Exercises

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Find the Derivative by Definition

Find the derivative of the following functions using the limit definition of the derivative.

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Prove the Constant Rule

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Find the Derivative by Rules

Find the derivative of the following functions:

Power Rule

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Product Rule

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Quotient Rule

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Chain Rule

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Exponentials

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Logarithms

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Trigonometric functions

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More Differentiation

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Implicit Differentiation

Use implicit differentiation to find y' Template:Question-answer Template:Question-answer Template:Noprint

Logarithmic Differentiation

Use logarithmic differentiation to find dydx: Template:Question-answer

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Equation of Tangent Line

For each function, f , (a) determine for what values of x the tangent line to f is horizontal and (b) find an equation of the tangent line to f at the given point.

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Higher Order Derivatives

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Advanced Understanding of Derivatives

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