What is the point of differentiation?

Differentiation is a very useful concept; informally it tells us how 'fast' something is changing. A real-life example is given by the first and second derivatives of distance with respect to time: the first derivative represents speed and the second derivative represents acceleration. It turns out there are higher-order derivatives called jerk, snap, crackle, and pop!

JH

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How can we remember the difference between differentiation and integration?


differentiate x^3-6x^2+2x=0


A curve has equation y = 6ln(x) + x^2 -8x + 3. Find the exact values of the stationary points.


For the function f(x) = 4x^3 -3x^2 - 6x, find a) All points where df/dx = 0 and b) State if these points are maximum or minimum points.