derivative of xcos/(1-sin²x)³/²
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Step-by-step explanation:
Let f(x)=cosx
3
.sin
2
(x
5
)
∴f
′
(x)=
dx
d
[cosx
3
.sin
2
(x
5
)]=sin
2
(x
5
)×
dx
d
(cosx
3
)+cosx
3
×
dx
d
[sin
2
(x
5
)]
=sin
2
(x
5
)×(−sinx
3
)×
dx
d
(x
3
)+cosx
3
×2sin(x
5
).
dx
d
[sinx
5
]
=−sinx
3
sin
2
(x
5
)×3x
2
+2sinx
5
cosx
3
.cosx
5
×
dx
d
(x
5
)
=−3x
2
sinx
3
.sin
2
(x
5
)+2sinx
5
cosx
5
cosx
3
×5x
4
=10x
4
sinx
5
cosx
5
cosx
3
−3x
2
sinx
3
sin
2
(x
5
)
I hope it will help you
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