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Many students find derivatives difficult. At TuLyn, we have hundreds of free derivatives video tutorials, printable derivatives worksheets, and derivatives word problems to help you better understand derivatives and get better grades.
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Derivatives

In calculus, the derivative is a measurement of how a function changes when the values of its inputs change. Loosely speaking, a derivative can be thought of as how much a quantity is changing at some given point. For example, the derivative of the position or distance of a car at some point in time is the instantaneous velocity, or instantaneous speed (respectively), at which that car is traveling (conversely the integral of the velocity is the car's position).

A closely related notion is the differential of a function.

The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. For a real-valued function of a single real variable, the derivative at a point equals the slope of the tangent line to the graph of the function at that point.

The process of finding a derivative is called differentiation. The fundamental theorem of calculus states that differentiation is the reverse process to integration.

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Our derivatives videos replace text-based tutorials and give you better step-by-step explanations of derivatives. Watch each video repeatedly until you understand how to approach derivatives problems and how to solve them.
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Using The Product Rule To Find The Derivative Of An Algebraic Complex Fractional Function Video Clip

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Using The Product Rule To Find The Derivative Of An Algebraic Complex Fractional Function
Video Clip Length: 5 minutes 59 seconds
Video Clip Views: 4810

algebraic fractions, complex fractions, derivatives, fractions, number sense, numbers, product rule

Determining Points At Which Function Has Horizontal Tangent Line Video Clip

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Determining Points At Which Function Has Horizontal Tangent Line
Video Clip Length: 11 minutes 55 seconds
Video Clip Views: 2365

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Using The Product Rule To Find The Derivative Of A Exponential Function Video Clip

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Using The Product Rule To Find The Derivative Of A Exponential Function
Video Clip Length: 1 minute 59 seconds
Video Clip Views: 2229

derivatives, exponential functions, exponents, functions, product rule

Using The Constant Multiple Rule To Find The Derivative Of A Fractional Function Video Clip

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Using The Constant Multiple Rule To Find The Derivative Of A Fractional Function
Video Clip Length: 2 minutes 32 seconds
Video Clip Views: 1313

algebraic fractions, constant multiple rule, derivatives, fractions, number sense, numbers

Determining Points At Which Function Has Horizontal Tangent Line 2 Video Clip

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Determining Points At Which Function Has Horizontal Tangent Line 2
Video Clip Length: 3 minutes 26 seconds
Video Clip Views: 1265

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Using The Constant Multiple Rule To Find The Derivative Of A Rational Algebraic Fraction Video Clip

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Using The Constant Multiple Rule To Find The Derivative Of A Rational Algebraic Fraction
Video Clip Length: 2 minutes 8 seconds
Video Clip Views: 1127

algebraic fractions, constant multiple rule, derivatives, fractions, number sense, numbers

Finding The Tangent Line Of A Function Video Clip

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Finding The Tangent Line Of A Function
Video Clip Length: 3 minutes 46 seconds
Video Clip Views: 968

derivatives, tangent line

Differentiating A Trigonometric Function Video Clip

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Differentiating A Trigonometric Function
Video Clip Length: 57 seconds
Video Clip Views: 680

derivatives, trigonometric functions

The Constant Multiple Rule Video Clip

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The Constant Multiple Rule
Video Clip Length: 2 minutes 8 seconds
Video Clip Views: 678

constant multiple rule, derivatives

Finding The Tangent Line Of A Function 5 Video Clip

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Finding The Tangent Line Of A Function 5
Video Clip Length: 2 minutes 13 seconds
Video Clip Views: 650

derivatives, tangent line

Top Derivatives Word Problems

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Homework Help Questions

  • Find the point on the curve y-axis which is nearest the point (4,0)
  • Find the marginal cost function, average cost function, and marginal average cost function for the total cost function of:
    C(x)= x3/3 - 15x2 + 200x

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Derivatives Books

Calculus With Analytic Geometry
Bob Miller's Calc for the Clueless: Calc III
Calculus and Analytic Geometry
Bob Miller's Calc for the Cluless: Calc II
Math Made Nice & Easy #8: Tangents, Normals & Slopes of Curves, Limits & Differentiation, Derivatives and Integration
Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
Applied Math for Derivatives: A Non-Quant Guide To The Valuation And Modeling Of Financial Derivatives
Derivative: Webster's Timeline History, 1997
Derivatives: Webster's Timeline History, 1998 - 1999
Student Supplement to Calculus with Annalytic Geometry- Volume 2: Chapters 13-19

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Many students find derivatives difficult. At TuLyn, we have hundreds of free derivatives video tutorials, printable derivatives worksheets, and derivatives word problems to help you better understand derivatives and get better grades.