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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Using The Product Rule To Find The Derivative Of A Exponential Function Video Clip
Using The Product Rule To Find The Derivative Of An Algebraic Complex Fractional Function Video Clip
Determining Points At Which Function Has Horizontal Tangent Line Video Clip
Using The Constant Multiple Rule To Find The Derivative Of A Fractional Function Video Clip
Using The Constant Multiple Rule To Find The Derivative Of A Rational Algebraic Fraction Video Clip
Using The Quotient Rule To Find The Derivative Of An Algebraic Rational Function Video Clip
Determining Points At Which Function Has Horizontal Tangent Line 2 Video Clip
Using The Quotient Rule To Find The Derivative Of A Rational Algebraic Fraction 3 Video Clip
Using The Quotient Rule To Find The Derivative Of A Rational Algebraic Fraction 4 Video Clip
Using The Quotient Rule To Find The Derivative Of A Rational Algebraic Fraction 6 Video Clip
Top Derivatives Word Problems
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)= x^{3}/3 - 15x^{2} + 200x
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