Question

Derive
formula X= tano​

Answer 1

Answer:

The derivative of the function f(x) at the point tex2html_wrap_inline400 is given and denoted by

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Some Basic Derivatives

In the table below, u,v, and w are functions of the variable x. a, b, c, and n are constants (with some restrictions whenever they apply). tex2html_wrap_inline420 designate the natural logarithmic function and e the natural base for tex2html_wrap_inline420 . Recall that tex2html_wrap_inline426 .

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Chain Rule

The last formula

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is known as the Chain Rule formula. It may be rewritten as

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Another similar formula is given by

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Derivative of the Inverse Function

The inverse of the function y(x) is the function x(y), we have

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Derivative of Trigonometric Functions and their Inverses

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Recall the definitions of the trigonometric functions

Step-by-step explanation: