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If we are given an integral where the integrand (stuff in between the integral symbol and dx) is a product of two separate functions. we then allow whichever of the functions that will be easier to differ...

The chain rule is used for functions 'inside' other functions. We have learnt to differentiate functions like x^2, y^20, e^x, -sin(x), and we will use these results in the chain rule. Let's look at an ex...

Let's take an example: Curve: y = x^2 Point: (2,4)

The equation of the tangent is going to be of the form y = mx + c (standard equation of a straight line), where m is the gradient of the line ...

a) Rearrange equation into the form y = mx + c where m is the gradient and c is the y-axis intercept. Gradient AB = -3/5. b) The y-intercept is c which = 7/5. To find x-axis intercept we set y=0 and rearr...

1. Multiply both sides by 5: 3x + 8 > 10 x + 5
2. Move 3x to RHS by subtracting 3x from both sides: 8 > 7x + 5
3. Move 5 to LHS by subtracting 5 from both sides: 3 > 7x
4. Ma...