Question

Determine the derivative of the following function: y = 5 + 7√x.
dy/dx =

Answer 1

To find the derivative of the function y = 5 + 7√x, we can use the power rule. The derivative is given by dy/dx = (1/2)(7)x^(-1/2).

Step-by-step explanation:

To find the derivative of the function y = 5 + 7√x, we can use the power rule. The power rule states that if we have a function of the form y = ax^n, then the derivative dy/dx is given by dy/dx = anx^(n-1). In this case, the function is of the form y = 5 + 7√x, with a = 5 and n = 1/2. Applying the power rule, we get dy/dx = (1/2)(7)x^(1/2-1) = (1/2)(7)x^(-1/2).