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

Differentiation - Version B

Click on the button with the correct answer.


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


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


Question 3
	If f(x) = x² cot x then df/dx =
		2x cot x – x² csc² x
		– 2x csc² x
		2x cot x
		– x² csc² 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)
		3 ln x² + ln (2x)
		5/x


Question 7
	If x² + xy + y² = 1 then dy/dx =
		– (y + 2x) / (2y + x)
		– (y + 2x – 1) / (2y + x)
		2x + y
		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 + dy/dx – 5y =
		e^–3x
		–11 e^–3x
		7 e^–3x
		0


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