Mathematics Questionnaire

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1. [0/1 Points]
PREVIOUS ANSWERS
SCALCET9 3.3.005.
Differentiate.
h() = 02 sin()
n'(O) = 20 sin(0) + e-cos(0)
X
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SCALCET9 3.3.007.
Differentiate.
y = sec(0) tan()
(sin (0)2+1)
cos(0)3
OS
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SCALCET9 3.XP.3.009.
Find the derivative of the function.
F(t) = t cos(t) + 2 sin(t)
P”(t) = cos(x) + x sin(x) + x?cos(x)
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SCALCET9 3.3.015.MI.
Differentiate.
4x
y =
3-tan(x)
y’ = (12 cos(x)2 – 2 sin (2x) + 4x)/(3 cos (x) – sin (x)))
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SCALCET9 3.3.015.MI.SA.
5. [-13 Points]
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Tutorial Exercise
Differentiate.
y =
7x
4 – tan(x)
Step 1
We are given the function
y =
7x
4 – taní)
and need to find the derivative y’. If we let F(x) = 7x and g(x) = 4 – tan(x), we note that the given function is the quotient of the differentiable functions Fix) and g(x).
Fx)
900) )] Aviso Locos
16:9)
dx
g(x)f'(x) = f(x)g'(x)
ya
[of
To apply this rule, we first find the derivatives of Fx) = 7x and g(x) = 4-tan(x).
f(x) = 7%
F'(x) =
g(x) = 4 – tan(x)
g'(x) =
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6. [-/1 Points)
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SCALCET9 3.3.021.
Differentiate.
FO) = cos(e) sin()
F(@) =
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SCALCET9 3.3.023.
Show that
dx
(cs

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Tags:
functions

Derivatives

composite functions

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