Differentiation and Chain Rule-problems

# Differentiation and Chain Rule-problems - handa(nh5757 –...

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Unformatted text preview: handa (nh5757) – Differentiation and Chain Rule – bormashenko – (54880) 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Find the value of f ′ (0) when f ( x ) = ( x 2 + x- 1) 2 3 . 1. f ′ (0) =- 2 2. f ′ (0) = 2 3 3. f ′ (0) = 0 4. f ′ (0) =- 4 3 5. f ′ (0) =- 2 3 002 10.0 points If y = tan x- cot x , then find dy dx . 1. sec x csc x 2. sec 2 x- csc 2 x 3. sec x + csc x 4. sec 2 x + csc 2 x 5. None of these 6. sec x- csc x 003 10.0 points Determine F ′ ( x ) when F ( x ) = 3 xf ′ ( x ) + f ( x ) and f is a twice-differentiable function. 1. F ′ ( x ) = 2 f ′ ( x )- x f ′′ ( x ) 2. F ′ ( x ) = 4 f ′ ( x )- x f ′′ ( x ) 3. F ′ ( x ) = 2 f ′ ( x ) + 3 x f ′′ ( x ) 4. F ′ ( x ) = 4 f ′ ( x ) + 3 x f ′′ ( x ) 5. F ′ ( x ) = 4 f ′ ( x ) + x f ′′ ( x ) 6. F ′ ( x ) = 2 f ′ ( x )- 3 x f ′′ ( x ) 004 10.0 points Find the derivative of y when y = 10 sin √ x- 6 √ x cos √ x . 1. y ′ = 5 sin √ x + 8 parenleftBig sin √ x √ x parenrightBig 2. y ′ = 3 sin √ x + 2 parenleftBig cos √ x √ x parenrightBig 3. y ′ = 5 cos √ x- 2 parenleftBig sin...
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Differentiation and Chain Rule-problems - handa(nh5757 –...

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