<IMG SRC="rur4.gif" WIDTH="335" HEIGHT="70" ALT="RURODEs"><BR>Differentiation

Differentiation - Version A

Click on the button with the correct answer.


Question 1
	If f(x) = sin 2x then df/dx =
		(cos 2x)/2
		2 cos 2x
		– (cos 2x)/2
		– 2 cos 2x


Question 2
	If f(x) = e^ax then df/dx =
		a e^x
		e^x / a
		a e^ax
		e^ax / a


Question 3
	If f(x) = x² tan x then df/dx =
		2x tan x + x² sec² x
		2x sec² x
		2x tan x
		x² sec² x


Question 4







Question 5







Question 6
	If f(x) = ln x³ – ln x², then df/dx =
		3 ln x² – 2 ln x
		ln (3x²) – ln (2x)
		ln (3x²) – ln (2x)
		1/x


Question 7
	If x² – xy + y² = 1 then dy/dx =
		2x – y
		(y – 2x) / (2y – x)
		(y – 2x + 1) / (2y – x)
		2x


Question 8
	If df/dx > 0 and d²f/dx² < 0 then f(x) is
		increasing and concave up
		increasing and concave down
		decreasing and concave up
		decreasing and concave down


Question 9
	If y = e^–3x then d²y/dx² + 2 dy/dx – 3y =
		12 e^–3x
		–12 e^–3x
		–6 e^–3x
		0


Question 10
	If y = x ² + c / x², where c is a constant, then x dy/dx + 2 y =
		0
		c
		4 x²
		4c / x²