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Calculus Examples
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Calculus
Find the Derivative - d/dx f(x)=(sin(x))/(cos(x))
f
(
x
)
=
sin
(
x
)
cos
(
x
)
f
(
x
)
=
sin
(
x
)
cos
(
x
)
Step 1
Convert from
sin
(
x
)
cos
(
x
)
sin
(
x
)
cos
(
x
)
to
tan
(
x
)
tan
(
x
)
.
d
d
x
[
tan
(
x
)
]
d
d
x
[
tan
(
x
)
]
Step 2
The
derivative
of
tan
(
x
)
tan
(
x
)
with respect to
x
x
is
sec
2
(
x
)
sec
2
(
x
)
.
sec
2
(
x
)
sec
2
(
x
)
⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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