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Find derivatives of the following functi...

Find derivatives of the following functions.
`1/(x^3 + sinx)^2`

Text Solution

Verified by Experts

`y = 1/{(x^3 + sinx)^2} = (x^3 + sinx)^(-2)
dy/dx = -2(x^3 + sinx)^(-3)xx d/dx (x^3 + sinx)
= -2/{(x^2 + sinx)^3}.(3x^2 + cosx)
-{2(3x^2 + cosx)}/{(x^3 + sinx)^3}`
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