What is differentiation and how do I do it?

explain the following briefly: To work out the gradient, first principles, shortcutsexplain in detail: different methods

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How to differentiate a bracket raised to a power i.e. chain rule


The points A and B have coordinates (2,4,1) and (3,2,-1) respectively. The point C is such that OC = 2OB, where O is the origin. Find the distance between A and C.


How can you express the complex number z = 2 + 3i in the form z = r(cos x + i sinx)


Use the identity for sin(A+B) to find the exact value of sin 75.


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