Practice Questions on Derivative of tan-1x
Q1. Find the derivative of tan-1 7x
Q2. Find the derivative of x2.tan-1x
Q3. Evaluate: (d/dx) [tan-1x/(x2 + 2)]
Q4. Evaluate the derivative of: cot-1x. tan-1 x
Q5. Find: (tan-1x)sin x
Derivative of Tan Inverse x
Derivative of tan inverse x is 1/(1+x2). Derivative of tan inverse x refers to the process of finding the change in the inverse tangent function to the independent variable. The specific process of finding the derivative for inverse trigonometric functions is referred to as inverse trigonometric differentiation, and the derivative of tan-1x is one of the key results in inverse trigonometric differentiation.
In this article, we will learn about the derivative of tan inverse x and its formula including the proof of the formula using the first principle of derivatives, quotient rule, and chain rule as well.