How do I simply differentiate and what does a differential mean?

To differentiate a simple expression such as x^3 + 2x you simply multiply the power of the x by the multiple in front of the x value and then take away one from the power. For example the expression would become 3x^2+2. The differential is the first derivative of a function and it can represent the gradient of the function. The differential can then be used to find maxima and minima of a function when the differential is equal to zero.

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Answered by Laura W. Maths tutor

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What is differentiation in mathematics and what does it represent?


You are given the equation y=x^2. Determine whether or not the equation has any maximums or minimums and identify them (whether they are maximums or minimums).


Solve |3x+1| = 1


y(x) = x^2(1-x)e^-2x , find y'(x) in the form of g(x)e^-2x where g(x) is a cubic function to be found


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