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the gradient of the curve = dy/dx and dy/dx = (dy/dt)(dt/dx)dy/dt = 8t + 1dx/dt = 2 therefore dt/dx = 1/2dy/dx as above = (8t + 1) * 1/2 = (8t + 1)/2where t = 4, dy/dx = (8*4...
So the first step is to find the first differential of yTo do this we simply have to differentiate:so with C being our coefficient, n being the power that x is.we need to reduce the power of x by 1, whils...
It relates back to what we actually mean why we say dy/dx. Simply put, dy/dx means the rate of change of y with respect to the rate of change in x over a infinitely small space of time. Therefore, when we...
The first step in figuring out this question is to first determine what the y=x3 looks like.If you are not already fimilar with this function, you can use some basic principles to find out wha...
Assume base differentiation knowledge: Sin(x) = Cos(x), Cos(x) = -Sin(x)The question combines the chain and product rule. To begin, start by splitting the equation: Sin(2x)Cos(x) = Sin(2x) x Cos(x)The pro...
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