Question

Differentiate y equals the quotient of 7 times x and the quantity x squared plus 1 . (2 points) y prime equals the quotient of 7 and 2 times x y prime equals the quotient of 7 and the quantity x squared plus 1 y prime equals the quotient of the quantity 7 times x squared minus 7 and the square of the quantity x squared plus 1 y prime equals the quotient of 7 times the quantity 1 minus x squared and the square of the quantity x squared plus 1

Answer 1

Answer: y prime equals the quotient of 7 and 2 times x

Explanation:

Answer: y prime equals the quotient of 7 and 2 times x.

Explanation: The derivative of y = (7x)/(x^2 + 1) with respect to x is y' = (7)/(2x). This is calculated by taking the derivative of the numerator and denominator separately and then dividing them. The derivative of the numerator is 7 and the derivative of the denominator is 2x. Thus, y' = (7)/(2x).