2/26/2021 Performance Task 1
Home / My courses / BAED-BUSC2112-2022S / Week 7: Derivatives of Algebraic and Exponential Functions / Performance Task 1
Question 1
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Compute for the derivative of the function below for x = 1.
2
y = (3x − 7)(x + 4x − 5)
Answer: -24
Question 2
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Compute for the derivative of the function below for x = 1 and z = 2.
y = 5 − 2x + 3z
Answer: -2
Question 3
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Compute for the derivative of the function below for x = 1.
x
e
f (x) = 2x
Answer: 5.43656
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2/26/2021 Performance Task 1
Question 4
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Compute for the derivative of the function below for x = 1.
y = x
Answer: 1
Question 5
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Compute for the derivative of the function below for x = 1.
6 5x 1
y = 3
− − 3
5x 4 3x
Answer: -3.85
Question 6
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Compute for the derivative of the function below for x = 2.
2 2
y = (5)(4x − 7)(6x − 1)
Answer: 2920
Question 7
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Compute for the derivative of the function below for x = 1.
1
y =
2
Answer: 1
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2/26/2021 Performance Task 1
Question 8
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Compute for the derivative of the function below for x = 2.
2x −2x
f (x) = ln(e + e )
Answer: 2
Question 9
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Compute for the derivative of the function below for x = 1.
y = 6x − 12(4x 2 − 3) 2
Answer: -186
Question 10
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Compute for the derivative of the function below for x = 1.
\( \Large y = \frac {5}{x^4}+ \frac {\sqrt x}{8} - \frac {\sqrt [3] {x}}{4} \)
Answer: -20.0208
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