Question Detail

MTH 102 Differentiation Objective Question
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Question

Find the derivative of \( y = \sqrt{1 + \sqrt{x}} \).
Options
A \( 1 / (4 \sqrt{x} \sqrt{1+\sqrt{x}}) \)
Correct Answer
B \( 1 / (2 \sqrt{1+\sqrt{x}}) \)
C \( 1 / (2\sqrt{x}) \)
D \( \sqrt{1+x} \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Chain rule: ( 1/(2\sqrt{1+\sqrt{x}}) \cdot (1/2\sqrt{x}) ).

Hint

Apply the chain rule twice for nested roots.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 185 of 930
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