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Differentiation
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Question 4
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Markscheme
Use the derivatives of
sin(x)\sin(x)
sin
(
x
)
and
cos(x)\cos(x)
cos
(
x
)
to show that:
a.
ddx(tanx)=sec2x \frac{d}{dx}(\tan x) = \sec^2 x
d
x
d
(
tan
x
)
=
sec
2
x
[3]
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3
Grade answer
b.
ddx(secx)=secxtanx \frac{d}{dx}(\sec x) = \sec x \tan x
d
x
d
(
sec
x
)
=
sec
x
tan
x
[3]
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3
Grade answer
c.
ddx(cotx)=−csc2x \frac{d}{dx}(\cot x) = -\csc^2 x
d
x
d
(
cot
x
)
=
−
csc
2
x
[3]
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3
Grade answer
d.
ddx(cscx)=−cscxcotx \frac{d}{dx}(\csc x) = -\csc x \cot x
d
x
d
(
csc
x
)
=
−
csc
x
cot
x
[3]
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3
Grade answer
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Differentiation Questions
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