What is differentiation and why is it useful?
Although differentiation is often taught in an abstract way, it's applications are virtually limitless. It's primary purpose is to determine the gradient of a line at a given point on a curve. Unlike with the gradient of a straight line, which is constant at all points on the line, the gradient of a curve is different at every point. Differentiation is therefore the method used to find the gradient at a given point.
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Related Maths A Level answers
All answers ▸A smooth 4g marble is held at rest on a smooth plane which is fixed at 30 degrees to a horizontal table. The marble is released from rest - what speed is the marble travelling at 5 seconds after being released? Let g = 9.8ms^2
Express cos(2x) in the form acos^2(x) + b, where a and b are constants.
differentiate with respect to x: (x^3)(e^x)
A function is defined by f(x)=x/(2x-2)^(1/2): (a)Determine the maximum domain of f. (b)Differentiate f. (c)Find the inflection points of the function's graph.