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These are the Transum resources related to the statement: "Derivative of x^{n}, sinx, cosx, e^{x} and lnx. Differentiation of a sum and a multiple of these functions. The chain rule for composite functions. The product and quotient rules".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

Here are some exam-style questions on this statement:

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*A function is given as \(f(x)=3x^2-6x+4+\frac3x,-2\le x \le 4, x\ne 0\).*" ... more - "
*Consider the graph of the function \(f(x)=7-3x^2-x^3\)*" ... more - "
*Consider the graph of \(f(x)=a\sin(b(x+c))+12\), for \(0\le x\le 24\).*" ... more - "
*(a) Find \( \frac{dy}{dx} \) when:*" ... more - "
*The diagram shows part of the graph of \(y=asinbx+c\) with a minimum at \((-2.5,-2)\) and a maximum at \((2.5,4)\).*" ... more - "
*Consider the cubic function \(f(x)=\frac{1}{6}x^3-2x^2+6x-2\)*" ... more - "
*Consider the function \(f(x)=x^3-9x+2\).*" ... 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 - "
*A particle P moves along a straight line. The velocity \(v\) in metres per second of P after \(t\) seconds is given by \(v(t) = 3\sin{t} - 8t^{\cos{t}}, 0 \le t \le 7\).*" ... more - "
*Consider a function \(f\), such that \(f(x)=7.2\sin(\frac{\pi}{6}x + 2) + b\) where \( 0\le x \le 12\)*" ... more - "
*Let \(f(x) = \frac{ln3x}{kx} \) where \( x \gt 0\) and \( k \in \mathbf Q^+ \).*" ... more

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