Math AA SL: Derivatives

#MAASL00045

[Maximum Mark: 7]

.

a) Find 

b) Find the slope of the graph at 

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#MAASL00046

[Maxmimum Mark: 8]

 and 

a)Find 

b)Find 

c). Find 

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#MAASL00050

[Maximum Mark: 6]

Let . 

a) Find 

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#MAASL00069

[Maximum Mark: 7]



a) Find the first  derivatives of 

b)Create a general rule for finding the derivative 
of  

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#MAASL00127

[Maximum Mark: 9]

There is an equation 

a) Find 

b) Find 

c) What is the gradient of the equation?

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#MAASL00131

[Maximum Mark: 4]

There is a function 

Find the derivative of the function

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#MAASL00132

[Maximum Mark: 7]

There is a function 

a) Find the derivative of the function

b) Find the gradient at x=1

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#MAASL00068

[Maximum Mark: 7]

, where , ,
, and .

a)Find the normal line equation to graph f at x=4

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#MAASL00078

[Maximum Mark: 7]

There is a curve 
Point T is the point where 

a) Find the slope of the curve of T at point 

b) The normal to the curve at point T hits the x axis at point P
Find the coordinates of point P

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#MAASL00140

[Maximum Mark: 7]

There is a curve , where p and q are constants

The point  exists on the curve

The tangent to the curve has a slope of 

Find  and 

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#MAASL00141

[Maximum Mark: 7]

There is a curve , where p and q are constants

The point  exists on the curve

The tangent to the curve has a slope of 

Find  and 

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#MAASL00142

[Maximum Mark: 7]

There is a curve , where p and q are constants

The point  exists on the curve

The tangent to the curve has a slope of 

Find  and 

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#MAASL00143

[Maximum Mark: 7]

There is a curve , where p and q are constants

The point  exists on the curve

The tangent to the curve has a slope of 

Find  and 


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#MAASL00098

[Maximum Mark: 11]

George made an open container rectangular prism



The container has height and width represented by 

There is a length of 

The volume is 

 represents the surface area of the container

a) Show that 

b) Find 

c) If the surface area is a minimum, 

what is the value of the height?

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#MAASL00185

[Maximum Mark: 6]

Let  and 

a) Find 

b) Find 

c) Let . Find 
 

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#MAASL00187

[Maximum Mark: 6]

Let  and 

a) Find 

b) Find 

c) Let . Find 

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#MAASL00188

[Maximum Mark: 14]

Consider . Part of the graph of  is shown below. There is a Maximum point at M, and a point of inflection at P.


 
a) Find 

b) Find the -coordinate of 

c) Find the -coordinate of 

d) The line  is the tangent to the curve of  at . Find the equation of  in the form 

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