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Most people rarely sit down and think that they are calculating derivatives, however derivatives are used in almost every process that we do. Simple driving uses derivatives to calculate speed. Computers use derivatives for a lot of signal processing algorithms. The Stock Market uses derivatives to see if a stock how stocks are changing. Anything that relates two values at different times most likely uses a derivative process.
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What are the uses of derivatives?
A derivative of a function represents that equation's slope at any given point on its graph.
Prove that a constant vector always has a perpendicular derivative?
A dot A = A2 do a derivative of both sides derivative (A) dot A + A dot derivative(A) =0 2(derivative (A) dot A)=0 (derivative (A) dot A)=0 A * derivative (A) * cos (theta) =0 => theta =90 A and derivative (A) are perpendicular
What is the derivative of e7x?
The derivative of e7x is e7 or 7e.The derivative of e7x is 7e7xThe derivative of e7x is e7xln(7)
How does calculus help us?
It is used in physics all the time. For example, acceleration is the derivative of velocity which is a derivative of position with respect to time. Calculating the amount of work done in a vector field (like an electrical field) also uses calculus.
What is the derivative of square root of 2?
the derivative is 0. the derivative of a constant is always 0.
