Question

Find the derivative of the function. y = 17 arctan x

Answer 1

The derivative of the function y = 17 arctan x is dy/dx = 17/(1 + x^2).

Step-by-step explanation:

The derivative of the function y = 17 arctan x can be found using the chain rule for differentiation.

Step 1: Identify the function inside the arctan function, which is x.

Step 2: Find the derivative of the function inside the arctan function, which is 1

Step 3: Multiply the derivative of the function inside the arctan function by the derivative of the arctan function, which is 1/(1 + x^2).

Step 4: Multiply the result by the constant 17 to get the final derivative: dy/dx = 17/(1 + x^2).