Question Detail

MTH 102 Practice Questions MTH 102 Objective Question

Question

d/dx(√(4-x²)) equals
Options
A -x/√(4-x²)
Correct Answer
B -2x/√(4-x²)
C -x/√(4-4x²)
D -x/(2√(4-x²))
Correct Answer

Option A is the correct answer.

Detailed Explanation

By the chain rule, d/dx√(4-x²) = (1/(2√(4-x²)))·(-2x) = -x/√(4-x²).

Hint

Use the chain rule on the square root of the inner function 4-x².

Question Info