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Find the derivative of the following fun...

Find the derivative of the following functions (it is to be understand that a,b,c,d,p,q,r and s are fixed non-zero constants and m and n are integers):
`(x^(2)cos((pi)/(4)))/(sin x)`

Text Solution

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Let `y=(x^(2)cos((pi)/(4)))/(sin x)`
`(dy)/(dx)=cos (pi)/(4).[(sin x (d)/(dx)x^(2)-x^(2)(d)/(dx)sinx)/((sin x)^(2))]`
`=(cos (pi)/(4)(2x sin x-x^(2)cos x))/(sin^(2)x)`
`=(xcos(pi)/(4)(2sin x-x cos x))/(sin^(2)x)`
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NAGEEN PRAKASHAN-LIMITS AND DERIVATIVES-Miscellaneous Exercise
  1. Find the derivative of the following functions (it is to be understand...

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  2. Find the derivative of the following functions (it is to be understand...

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