(cot(x))'
Definition
The term (cot(x))' represents the derivative of the cotangent function. It measures how fast the cotangent function is changing at a specific point on its graph.
Analogy
Imagine you are climbing up or down a steep hill, and someone asks you how steep it is at a particular spot. The derivative of the cotangent function tells you exactly that - it measures how steeply your height changes as you move along its graph.
Related terms
(-csc^2(x)): This term represents negative one times csc^2(x), which is equal to -1/sin^2(x). It describes how fast csc x changes with respect to x.
(-tan^2(x)): This term represents negative one times tan^2(x), which is equal to -1/tan^2x = -cos^2x/sin^2x = -(cosx/sinx)^2. It describes how fast tan x changes with respect to x.
(sec(x) * tan(x)): This term represents the product of sec(x) and tan(x). It describes how fast sec x and tan x change together as x changes.
"(cot(x))'" appears in:
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