A-level circle question

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How do I differentiate 3^2x?


A curve C has equation y = 3x^4 - 8x^3 - 3. Find dy/dx and d2y/dx2. Verify C has a stationary point at x = 2. Determine the nature of this stationary point, giving a reason for the answer.


Why is the derivative of the exponential function itself?


Show that 1+cot^2(x)=cosec^2(x)