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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 th...
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Answered by Evelyn H. Maths tutor
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How is a wave-cut platform formed?

Wave cut platforms are created as a cliff retreats, due to weathering at the top of the cliff and sea erosion at the base of the cliff. Coastal erosion creates a wave-cut notch at the base of the cliff, as t...
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Answered by Natalie J. Geography tutor
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What are the roles of the sinoatrial node (SAN) and the atrio-ventricular node (AVN)?

The heart muscle is myogenic and initiates a heartbeat through an electrical conduction system; both the sinoatrial node and atrio-ventricular node are essential in this mechanism. The sinoatrial node (SAN) ...
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Answered by Shelby P. Biology tutor
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How to draw the inverse of a function ?

There is a simple trick to drawing the inverse of a given function. First, roughly sketch the original function. This means a sketch of the general shape of the curve with some key characteristics such as it...
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Answered by Christina V. Maths tutor
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What is the tangent line to the curve y = x^3+4x+5 at the point where x = 2?

First, we must find the value of y when x = 2. y = x 3 +4x+5 = (2) 3 +4(2)+5 = 21 Then we must find the gradient of the tangent line. This can be done by differentiating y with respect to x and substituting ...
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Answered by Oliver T. Maths tutor
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