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Step 1: To differentiate an equation there is a simple rule to follow. For y=ax n dy/dx=anx n-1 . so for an example y=x 3 , dy/dx=3x 2. Therefore we just apply this rule into our equation. Step 2: Break the ...

Step 1: Multiply everything by x-4 to give (2x+3) - ((2x-8)(x-4)/2x+1)=(x-4) Step2: Multiply everything by 2x+1 to give (2x+3)(2x+1)-(2x-8)(x-4)=(x-4)(2x+1) Step 3: Multiply out the brackets to give (4x 2 +8...

When you are faced with an integral which is a product, such as x.cos(x) , you may be able to integrate it by parts. The statement of the integration by parts is that: ∫u(dv/dx)dx = uv-∫v(du/dx)dx So if you ...

A quadratic expression is of the form ax ​2 +bx+c. It is often useful to know what values of x will make the expression equal to 0; these are known as the roots of the equation. An easy way of seeing what th...

Parametric equations are a set of equations which both depend on the same variable, such as t. An example of this would be: x = 2t 2 ​+1 and y = t ​4 ​-2 As the value of t changes the equations will give you...