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Overview: Differentiation Differentiation is a very useful mathematical technique extensively applied in various fields including economics, science, technology and engineering. Examples range from obtaining...

You bring the power down to multiply by the existing coefficient of x =1 in this case, and then you reduce the existing power by 1 leaving you with dy/dx= 2x.

In algebra, long expressions can be simplified which makes them easier to solve. We can simplify alebraic expressions by collecting together "like terms". When looking at an expressions such as: 5x...

When you differentiate an equation, you're finding the gradient of its graph.<o:p></o:p> For example, if you differentiate the equation y = x 2 you get a solution dy/dx = 2x<o:p></o:p&gt...

If y is a function of u, which itself is a function of x, then dy/dx=(dy/du) x (du/dx) Differentiate the outer function and multiply by the derivative of the inner function. To illustrate this rule, look at ...