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The gradient of the line L is -2 so the gradient of the line perpendicular to L will be the negative reciprocal of -2 which is 1/2.The equation of the line perpendicular to L will be y=mx+c where m is the...

Product rule differentiation, is a form of differentiation which is used to calculate the derivative, i.e. the gradient of the function, of a function f(x) which is made up of one function g(x) multiplied...

Firstly, it is important to know the difference between scalars and vectors. Scalars are just a number associated with a measured quantity, while vectors are a number AND a direction associated with a qu...

Since we need to find dy/dx, we must first differentiate the equation implicitly which gives us: 8x - 3y²dy/dx - 4y - 4xdy/dx + 2^yln(2)dy/dx = 0. Because we are given a point, we can...

To find the point(s) where these two lines intersect we will first find the x coordinate of the point(s) where they intersect snd use this to find the corresponding y coordinate by substituting the x valu...