Calculate the derivative of y = sqrt 7x + 2

Let's solve this by taking the derivative of each term in the equation.

Let's find the derivative of
Let u=7x. The derivative of u, du, is 7.



Take the derivative of this respect to u.



du is 7.



That's the derivative of the first term.
Finding the derivative of the second term is easy. The derivative of a constant is 0. Thus, the derivative of 2 is 0.

Put the two derivatives of each of the terms back into the equation to get the derivative of the whole function.