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A tangent line to a point of a curve is the straight line which is parallel to the the curve at that point.The equation of any straight line has equation form : y-y_1 = m(x-x_1) where m is the gradient of th...

For this integration, we will use integration by substitution:First, we will let substitute u = X 4 + 3X + 16 (this may be known as g(x) function and we will need to find the derivative of our u/g(x) for thi...

To integrate basic algebra you add one to the power of a value and then divide the coefficent by the new power, for example:To intergrate: 16x 3 You firstly add one to the power to get: 16x 4 Then you divide...

For differentiation you simply multiply the coefficient of the unknown variable that you are differentiating by the power of the coefficient, then minus one from the power. For example to differentiate 3x 3 ...

let f(x) = ax^3 + ax^2 + ax - 42if x-2 is a factor of f(x), then by remainder theorem, f(2) = 0and:a(2)^3 + a(2)^2 + a(2) -42 = 08a + 4a + 2a - 42 = 014a = 42a = 3