Topic: Calculus Derivative Formulas
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Answers to Common Questions
What are the calculus derivatives formula?
lim as x->c (f(x)) = L ⇔ ∀ε>0∃δ:0<|x-c|<δ→|f(x)-L|<ε d(f(x))/dx = lim as h->0 ((f(x+h)-f(x))/h) d(f(g(x)))/dx = d(f(x))/d(g(x)) * d(g(x))/dx d(f(x)+g(x)) = d(f(x))/dx + d(g(x))/dx d(f(x)g(x))/dx = (d(f(x))/dx)*g(x) + f(x)*(d(g(x))/dx) d(x^n... Read More »
Source: http://answers.yahoo.com/question/index?qid=20111123193708AAronN0
How to Read Derivatives in Calculus
Physicists refer to speed as "velocity." Velocity is not simply speed, however. It also includes direction. If a car is moving to the right, for example, at 1 mile per hour, a physicist might say the car's velocity is +1 mph. If the same ca... Read More »
Source: http://www.ehow.com/how_8555385_read-derivatives-calculus.html
How is calculus used to derive the formula for the area of a circ...
The circumference is 2*pi*r. Use the shell integration method to cut the circle up into many shells of width dt. The area of each ring is its width times its length, which is 2*pi*r*dt. Now, add up all the shells by integrating from 0 to r.... Read More »
Source: http://www.answerbag.com/q_view/654220
More Common Questions
Answers to Other Common Questions
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...
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Source: http://www.ehow.com/how_5699358_calculate-calculus-derivative-onl...
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....
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Source: http://www.wikihow.com/Take-Derivatives-in-Calculus
A pyramid is a figure that consists of a polygonal base and equally sized triangular faces that meet at a common point or vertex. The height of a pyramid is the shortest distance from the base to the vertex. A few examples for the base of a...
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Source: http://www.ehow.com/how_6558334_derive-formula-volume-pyramid.htm...
A cone is a geometric three-dimensional shape that comprises the circular base and the vertex. Any cone is characterized by the radius of the circular base and the height, which is the distance from the vertex to the center of the circle. I...
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Source: http://www.ehow.com/how_8514702_derive-surface-area-cone-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...
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Source: http://www.ehow.com/how_4890048_first-derivative-single-variable-...
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 ...
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Source: http://www.ehow.com/how_4900574_second-derivative-single-variable...
1 Take a piece of paper and write down the equation ax 2 + bx + c = 0 2 Divide both sides by a . x 2 + (b/a)x + c/a = 0 3 Subtract c/a from both sides . x 2 + (b/a)x = -c/a 4 Divide the coefficient of the x term, b/a , by two and then squar...
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Source: http://www.wikihow.com/Derive-the-Quadratic-Formula
