Question: PART II (6 Multiple Choice Questions. Each for 1 Mark) Circle one correct answer for each of the following questions:Q5. The derivative of the function

PART II (6 Multiple Choice Questions. Each for 1 Mark) Circle one correct answer for each of the following questions:Q5. The derivative of the function f(x)=xsin(x2) is f'(x)=a.sin(x2)2x2cos(x2)b.sin(x2)cos(x2)c.xsin(x2)x2cos(x2)d.xsin(x2)-2x2cos(x2)Q6. If f(x)=44x-4, then f''(x)=a)4ln(4)44x-4b)(4ln(4))244x-4c)4(ln(4))244x-4d)44x-6Q7. Let g be a differentiable function. The derivative of f(x)=3[g(2x2-1)]2 isa)f'(x)=6xg(2x2-1)g'(2x2-1)b)f'(x)=24xg'(2x2-1)c)f'(x)=6xg'(2x2-1)d)f'(x)=24g(2x2-1)g'(2x2-1)Q8. Let g be a differentiable function such that g(2)=3 and g'(2)=-5. If f(x)=4xx2g(x)-, then f'(2)=a)-9b)14-c)-7d) Cannot be determined from the given information.

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