MA302 Grantham Week 3 GID Calculus Functions and Graphs Paper

Mathematics

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1./5 pointsLarCalc11 1.5.040.Ask Your Teacher

My Notes

Question Part
Points
Submissions Used

Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) lim x → (−1/2)+

6x2 + x − 1
8x2 − 2x − 3

2./5 pointsLarCalc11 1.5.046.Ask Your Teacher

My Notes

Question Part
Points
Submissions Used

Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) lim x → (π/2)+

−4
cos x

3./5 pointsLarCalc11 2.1.021.Ask Your Teacher

My Notes

Question Part
Points
Submissions Used

Find the derivative of the function by the limit process.f(x) = x2 + x − 9

f (x) =

4./5 pointsLarCalc11 2.1.038.Ask Your Teacher

My Notes

Question Part
Points
Submissions Used

Find an equation of the line that is tangent to the graph of f and parallel to the given line.

Function Line
f(x) = 2x2

6xy + 3 = 0

y =

5./5 pointsLarCalc11 2.2.017.Ask Your Teacher

My Notes

Question Part
Points
Submissions Used

Use the rules of differentiation to find the derivative of the function.f(t) = –5t2 – 8t – 3

f ‘(t) =

6./5 pointsLarCalc11 2.2.026.Ask Your Teacher

My Notes

Question Part
Points
Submissions Used

Use the rules of differentiation to find the derivative of the function.y = 6x4 + 3 sin x

y’ =

7./5 pointsLarCalc11 2.2.041.Ask Your Teacher

My Notes

Question Part
Points
Submissions Used

Find the derivative of the function.

g(t) = t2 8
t3

g’(t) =

8./5 pointsLarCalc11 2.2.043.Ask Your Teacher

My Notes

Question Part
Points
Submissions Used

Find the derivative of the function.

f(x) = x3 − 7x2 + 3
x2

f ‘(x) =

9./5 pointsLarCalc11 2.3.009.MI.Ask Your Teacher

My Notes

Question Part
Points
Submissions Used

Use the Product Rule to differentiate the function.
f(x) = x7 cos(x)

f ‘(x) =

10./5 pointsLarCalc11 2.3.029.Ask Your Teacher

My Notes

Question Part
Points
Submissions Used

Find the derivative of the function.
f(x) =

2 − 3xx2
x2 − 4

f (x) =

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