# Choose the correct alternative: If y = xx, then dydx = ? - Mathematics and Statistics

MCQ

Choose the correct alternative:

If y = x^(sqrt(x)), then ("d"y)/("d"x) = ?

#### Options

• y/(2sqrt(x))(log x + 2)

• y/sqrt(x)(log x + 2)

• y/(2sqrt(x))(log x - 2)

• y/sqrt(x)(log x - 2)

#### Solution

y/(2sqrt(x))(logx + 2)

Concept: Derivatives of Composite Functions - Chain Rule
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