Exercise
$\frac{d}{dx}arccot\frac{3x}{2}$
Step-by-step Solution
Learn how to solve problems step by step online. Find the derivative of arccot((3x)/2). Taking the derivative of arcotangent. The derivative of a function multiplied by a constant (\frac{1}{2}) is equal to the constant times the derivative of the function. Multiplying fractions \frac{-1}{1+\left(\frac{3x}{2}\right)^2} \times \frac{1}{2}. The derivative of the linear function times a constant, is equal to the constant.
Find the derivative of arccot((3x)/2)
Final answer to the exercise
$\frac{-3}{2\left(1+\left(\frac{3x}{2}\right)^2\right)}$