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Let’s say we’re given the equation y=(2x-6)^4we would know how to differentiate x^4, therefore we can take the substitution u=2x-6 to give us the equation y=u^4we then differentiate this equation (dy/du) ...

Begin by drawing a diagram with all the vectors that act on the box. This should include the normal vector (N), the weight of the box (G), and the static friction force (F_s). Write down the equ...

Using the product rule H(X) = f(x)*g(x) and H'(X) = f'(x)*g(x) + f(x)*g'(x) Where, in this case f(x) = x³ and g(x) = e^x We can easily determine the derivative of the above function.f...

Government Expenditure is an injection into the circular flow of income and can be represented in an Aggregate Demand/Aggregate Supply Diagram as an increase in aggregate demand. (Shows on diagram shift i...

A quadratic equation will always take the form ax² + bx + c, where x is a variable and a, b and c are numbers. The equation may be given to you with several x² values, several x valu...