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Find the derivative of y = ( (frac{1}{3})X + 6)(^2)

Find the derivative of y = ( (frac{1}{3})X + 6)(^2)

  • A.
    2( (frac{1}{3})X + 6
  • B.
    (frac{2}{3}) ( (frac{1}{3})X + 6)
  • C.
    (frac{2}{3}) ( (frac{1}{3})X + 6)2
  • D.
    (frac{1}{3}) ( (frac{1}{3})X + 6)2
Correct Answer: Option B
Explanation

Y = ( (frac{1}{3})X + 6)(^2)
(frac{dy}{dx}) = 2( (frac{1}{3})X + 6) (frac{1}{3})
= (frac{2}{3}) ( (frac{1}{3})X + 6)

There is an explanation video available below.

Explanation Video