Question Detail

MTH 102 Differentiation Objective Question

Question

Find \( dy/dx \) for \( y = 7x + \sqrt{x} \).
Options
A \( 7 + 1 / (2\sqrt{x}) \)
Correct Answer
B \( 7 + 2\sqrt{x} \)
C 7
D \( 1 / (2\sqrt{x}) \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

( y = 7x + x^{1/2} \implies y' = 7 + 1/2x^{-1/2} ).

Hint

Recall the derivative of a linear term and a square root.

Question Info