# Choose the correct alternative: If y = (3x2+8x-6)53, then dydx = ? - Mathematics and Statistics

MCQ

Choose the correct alternative:

If y = root(3)((3x^2 + 8x - 6)^5, then ("d"y)/("d"x) = ?

#### Options

• 5/3 (6x + 8) (3x^2 + 8x - 6)^(2/3)

• (-5)/3 (6x + 8) (3x^2 + 8x - 6)^(2/3)

• 3/5 (3x + 4) (3x^2 + 8x - 6)^(2/3)

• (-3)/5 (3x + 4) (3x^2 + 8x - 6)^(2/3)

#### Solution

5/3 (6x + 8) (3x^2 + 8x - 6)^(2/3)

Concept: Derivatives of Composite Functions - Chain Rule
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