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Physics
Physics
Problem
**| Example 12 (i) If
f
′
(
x
)
=
x
2
+
2
x
f'(x) = \frac{x}{2} + \frac{2}{x}
f
′
(
x
)
=
2
x
+
x
2
and
f
(
1
)
=
5
4
f(1) = \frac{5}{4}
f
(
1
)
=
4
5
, then find
f
(
x
)
f(x)
f
(
x
)
. (ii) The gradient of the curve is given by
d
y
d
x
=
2
x
−
3
x
2
\frac{dy}{dx} = 2x - \frac{3}{x^2}
d
x
d
y
=
2
x
−
x
2
3
. The curve passes through
(
1
,
2
)
(1, 2)
(
1
,
2
)
find its equation.
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