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Step-by-step Solution

Find the derivative $\frac{d}{dx}\left(\frac{\pi }{2}-\arctan\left(x\right)\right)$ using the sum rule

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Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(\frac{\pi}{2}-\arctan\left(x\right)\right)$

Learn how to solve sum rule of differentiation problems step by step online.

$\frac{d}{dx}\left(\frac{\pi}{2}\right)+\frac{d}{dx}\left(-\arctan\left(x\right)\right)$

Unlock this full step-by-step solution!

Learn how to solve sum rule of differentiation problems step by step online. Find the derivative (d/dx)(pi/2-arctan(x)) using the sum rule. The derivative of a sum of two functions is the sum of the derivatives of each function. The derivative of the constant function (\frac{\pi}{2}) is equal to zero. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Taking the derivative of arctangent.

Answer

$\frac{-1}{1+x^2}$

Problem Analysis

$\frac{d}{dx}\left(\frac{\pi}{2}-\arctan\left(x\right)\right)$

Related formulas:

5. See formulas

Time to solve it:

~ 0.12 seconds