MA302 Grantham Week 3 GID Calculus Functions and Graphs Paper

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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		6x − y + 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 − 3x − x2

x2 − 4

f ‘(x) =

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