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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...

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 ...

let y=2 x {take natural logs of both sides} ln y = ln(2 x ) {use rules of logs to change right hand side} lny = xln2 {differentiate implicitly} 1/y . dy/dx = ln2 {make dy/dx the subject} dy/ dx = y ln2 {writ...

cos2x= 2cos^2x - 1 2cos^2x - 1 - 5cosx = 2 Let cosx = y 2y^2 - 5y - 3 = 0 (2y + 1)(y + 3) = 0 y = -1/2 or -3 cosx = -1/2 or -3 x = 120 degrees