If f 1 = 1 , f ' 1 = 3 , then the derivative of f f f x + f x 2 at x = 1 is:

Question

If f 1 = 1 , f ' 1 = 3 , then the derivative of f f f x + f x 2 at x = 1 is:, 9, 12, 15, 33

MARKS App · Accepted Answer

y = f f f x + f x 2 ⇒ d y d x = f ' f f x × f ' f x × f ' x + 2 f x × f ' x ⇒ d y d x x = 1 = f ' f f 1 × f ' f 1 × f ' 1 + 2 f 1 × f ' 1 = f ' f 1 × f ' 1 × 3 + 2 × 1 × 3 = f ' 1 × 3 × 3 + 6 = 3 × 3 × 3 + 6 = 27 + 6 = 33

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