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Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph.
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24 Νοε 2024 · Let $x \in \R$. Let $\arccot x$ be the arccotangent of $x$. Then: $\dfrac {\map \d {\arccot x} } {\d x} = \dfrac {-1} {1 + x^2}$ Corollary $\map {\dfrac \d {\d x} } {\map \arccot {\dfrac x a} } = \dfrac {-a} {a^2 + x^2}$ Proof 1
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Enter the function you want to find the derivative of in the editor. The Derivative Calculator supports solving first, second...., fourth derivatives, as well as implicit differentiation and finding the zeros/roots.
Proof Of The Derivative Of Arccotangent(x) First lets start with a right-angled triangle where one of the angles is y. Lets say the opposite side is of length 1 and that the adjacent is of length x: Using the triangle above, we can say: We already know that the derivative of x with respect to x is 1: Since x = cotan(y): Using the chain rule:
Free Derivative Calculator helps you solve first-order and higher-order derivatives. For trigonometric, logarithmic, exponential, polynomial expressions. Answers, graphs, alternate forms.
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