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Byju's Answer
Standard XIII
Physics
Basic Differentiation Rule
Slope of the ...
Question
Slope of the curve
y
=
x
3
−
e
x
+
cos
x
is
A
x
2
+
e
x
−
sin
x
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B
3
x
2
+
e
x
−
sin
x
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C
3
x
2
−
e
x
−
sin
x
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D
x
2
−
e
x
+
sin
x
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Solution
The correct option is
C
3
x
2
−
e
x
−
sin
x
Slope of the curve
y
=
f
(
x
)
is given by
d
y
d
x
⇒
d
(
x
3
−
e
x
+
cos
x
)
d
x
⇒
d
x
3
d
x
−
d
e
x
d
x
+
cos
x
d
x
⇒
3
x
2
−
e
x
−
sin
x
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