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These are the Transum resources related to the statement: "Differentiate using the product rule, the quotient rule and the chain rule, including problems involving connected rates of change and inverse functions".

Here are some exam-style questions on this statement:

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*Let \(f(x)=\frac{2x}{x^2+3}\)*" ... more - "
*Very accurate equipment was used to measure the movement of a particle which moved in a straight line for 3 seconds. Its velocity, \(v\) ms*" ... more^{-1}, at time \(t\) seconds, is given by: - "
*Consider the function \(f\) defined by \(f(x)= \ln{(x^2 - 9)}\) for \(x > 3\).*" ... more - "
*If \(f(x)=x\sin{x}\), for \(-3\le x\le3\)*" ... more - "
*Let \(f(x)=\frac{g(x)}{h(x)}\), where \(g(3)=36\), \(h(3)=12\), \(g'(3)=10\) and \(h'(3)=4\). Find the equation of the normal to the graph of \(f\) at \(x=3\).*" ... more - "
*The displacement, in millimetres, of a particle from an origin, O, at time t seconds, is given by \(s(t) = t^3 cos t + 5t sin t\) where \( 0 \le t \le 5 \) .*" ... more - "
*The function \(f\) is defined as follows:*" ... more - "
*Make a sketch of a graph showing the velocity (in \(ms^{-1}\)) against time of a particle travelling for six seconds according to the equation:*" ... more - "
*Let \(f(x) = \frac{ln3x}{kx} \) where \( x \gt 0\) and \( k \in \mathbf Q^+ \).*" ... more - "
*The function \(f\) is such that \(f(x) = \frac{\ln2x}{x^3} \) where \(x \gt 0\).*" ... more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

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