Additional Mathematics: Differentiation

Describe a turning point if the second derivative is less than 0.

• The turning point is at minimum

• The turning point is undefined

• The turning point is at maximum

• All above

How many rules are there in differentiation?

• Quotient

• Chain

• Product

• Division

• Addition

Determine the stationary point and their nature for the following curve.

• (-2,4) is a point of inflection

• (4,-2) is a point of inflection

• (2,-4) is a point of inflection

Determine the equation of the tangent and normal of the curve at the given point.

• y = 2x+8 , 2y+x = 6

• y = 8x+2 , 2x+y = 6

find the limit of value of the following

• -5/3

• -3/5

• 3/5

• 5/3

differentiate the following

• 0

• 6

• -6

• 6^0

differentiate the following functions with respect to x

• 16x^3 - 24x - 10 + 10

• 16x^2 + 24x^2 - 10x - 10

• 16x^3 + 24x^2 + 10x - 10

• 16x^3 + 24x^2 - 10x - 10

differentiate the following

• 
• 
• 

determine the gradient of tanget for the following

• -3

• 3

• -7

• -4

solve the problem

• length = 15m , width = 7.5 m

• length = 15cm , width = 7.5 m

• length = 14m , width = 7.5 m