Topic: Calculus Second Derivative
Answers to Common Questions
How to Interpret the Second Derivative (single variable calculus)
Know the notation for writing the second derivative. If y = f(x) is a function in the variable x, then the second derivative can be written as f"(x), y", or d²y/dx². Know that y" describes the rate of change in y', just as y' describes the ... Read More »
Source: http://www.ehow.com/how_4900574_second-derivative-single-variable...
What is the second derivative in calculus?
The second derivative of an equation is found by taking the derivative, and on the resulting equation, doing it again. Read More »
Source: http://www.chacha.com/question/what-is-the-second-derivative-in-c...
How to Calculate a Calculus Derivative Online
1 First, visit the Wolfram Alpha website at wolframalpha.com. Wolfram Alpha is a complex computational engine capable of many things, but most importantly for our purposes, it has virtually any mathematical function built right into it--eve... Read More »
Source: http://www.ehow.com/how_5699358_calculate-calculus-derivative-onl...
Answers to Other Common Questions
1 Understand the derivative notation . The following two notations are the most common, though there are countless others that can be found here on Wikipedia. Leibniz Notation This notation is most common when the equation involves y and x.... Read More »
Source: http://www.wikihow.com/Take-Derivatives-in-Calculus
Understand that the formal definition of a derivative of a function f(x) is the following limit: [f(x+h) - f(x)]/h as h goes to zero. The numerator of the limit is difference in y-values of the function, and the denominator is the differenc... Read More »
Source: http://www.ehow.com/how_4890048_first-derivative-single-variable-...
When you take the derivative of a function, you are seeking a variation of that function that provides you with the slope of the tangent (instantaneous slope) at any value of (x). For example, the derivative of the function f(x)=x^2 is f'(x... Read More »
Source: http://wiki.answers.com/Q/What_is_a_derivite
y = (cosx)^2 - 2sinx y' = 2cosx * -sinx - 2cosx y' = -2cosxsinx - 2cosx y" = 2sinxsinx + -2cosxcosx - -2sinx y" = 2(sinx)^2 - 2(cosx)^2 + 2sinx factor out -2 y" = -2[(cosx)^2 - (sinx)^2 - 2sinx] y" = -2[cos2x - 2sinx] you can either use tha... Read More »
Source: http://answers.yahoo.com/question/index?qid=20110124001044AAZELeQ
The Point of Inflection is the point on a graph where the Tangent Line crosses the graph. That is, when the curve is Concave Down, the Tangent Line touches the curve above the curve and when the curve is Concave Up, the Tangent Line touches... Read More »
Source: http://www.ehow.com/how_5237857_use-derivative-determine-concavit...
Acceleration Read More »
Source: http://wiki.answers.com/Q/What_is_the_second_derivative_of_displa...
Derivatives are usually taken with respect to time. The first derivative would have units of volume / time, i.e., a flow - for example - "so-and-so many cubic meters per second flow down our river". The second derivate would refer to a chan... Read More »
Source: http://wiki.answers.com/Q/What_is_the_second_derivative_of_volume
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