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Firstly you would have to differentiate the equation to find the expression that describes the rate of change of the parameters relative to each other using the standard differentiation method. This invol...
In order to solve this question we simply must substitute x=1 into f(x). But what is f(x)? What does it actually mean to make a subsitution? f(x) has a fancy name attached to it called a funct...
Two methods for simultaneous equations: making them equal to each or substitution. If they both have a common term, for example "y", then you can do substitution, otheriwise find a way to make t...
-Tangent is a straight line that touches, but does not intersect, the curve at the point (2,8).
We need to find the gradient of the curve at the point (2, 8). To do this, expand the equation, diffe...
To solve this we must use the chain rule which is dy/dt * dt/dx. Firstly, we differentiate dy/dt. For this we must use the quotient rule, this gives us dy/dt=(9te^3t - 3e^3t)/9t^2. Now for dx/dt, by subst...
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