Additional maths IGCSE (0606) revision

What is the derivative of y=sin(3x-1)?

• dy/dx=cos(3x-1)
• dy/dx=3cos(3x-1)
• dy/dx=3cos(3x)
• dy/dx=(3x-1)cos(3x-1)

What is the derivative of f(x)=tan²x ?

• f'(x)=2tanx
• f'(x)=2sec²x
• f'(x)=2tanx sec²x
• f'(x)=2tanx secx

Solve (x-2)(x-3)>0

• 2<x<3
• 2>x>3
• x<2 or x>3
• x>2 or x<3

At a maximum, we know that

• dy/dx>0 and d²y/dx²=0
• dy/dx=0 and d²y/dx²<0
• dy/dx=0 and d²y/dx²>0
• dy/dx<0 and d²y/dx²=0

cosec(x) is equal to 

• 1/sin(x)
• 1/cos(x)
• 1/tan(x)
• 1/sec(x)

Tags

CCSS.HSF.TF.A.4

Which of these is an asymptote for y=ln(x)?

• x=1
• x=0
• y=0
• y=1

Tags

CCSS.HSF-IF.C.7E

• y=2-e^x
• y=2-e^-x
• y=e^x+2
• y=e^-x+2

Tags

CCSS.HSF-IF.C.7E

If y=log₂(3x)+3 then 

• 2^y=24x
• 2^y=3x+8
• 2^y=9x
• 2^y=3x+3

Tags

CCSS.HSF.LE.A.4

If A is at (3, -7) and B is at (-4, 2) then the vector AB is 

• 7i - 9j
• -1i -5 j 
• -7i +9j
• -7i -5j 

Tags

CCSS.HSN.VM.A.2

The quadratic 2x² - 12x + 17 is

• 2(x-3)² + 8
• 2(x-3)² -1
• 2(x-6)² -19
• 2(x-6)² + 17

Tags

CCSS.HSA-REI.B.4B