2:59 m COVes fatima.ghaniii to you 6m X direct Derivatives Unit 2 Test 16 10 10 12 Name Fatima Ghani K/U Comm |Think App Knowledge/Understanding (16 marks) Indicate whether the statement is true or false. T 1. The value of the derivative at a point on a function measures the slope of the tangent to the curve at that point. F 2. The acceleration function is found by differentiating the displacement function. T 3. The derivative of a polynomial function is always another polynomial function. F 4. The power rule only works with integer exponents. T 5. The sign, positive or negative, of the velocity of an object at a specific time indicates the direction in which the object is moving. F 6. An object is speeding up when the acceleration of the object is in the opposite direction of its motion. Differentiate the following: (2 marks each) 7. y =6x3 - 7x-2 + 3x 8. y = V3x +4 y = 18x2 + 14 x -3 + 3 y = (3 x + 4 ) 13 y' = 3 ( 3 x + 4 )-213 (3) 3 V ( 3 x + 4 ) 2 10. f (x) = 4 -1 9. y = (6x +5) (x-3) x +5 4= 6 x2+5x- 18x-15 y = 6x2- 13x -15 fix) = 2 ( x+5 ) - 1 ( 2x-1 ) ( x + 5 ) 2 dy _12x- 13 F' ( x ) = 2 x + 16 - 2x + 1 11. y= (3x2 -2x)* ( * + 5 ) ? 2 4 (3x ] - 2 x )5 ( 6x - 2 ) f'(x ) 11 ( * + 5 ) 2 O Send message