differentiate .......
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y=cos−1xdydx=−11−x2√d2ydx2=ddx⎛⎝−11−x2√⎞⎠=⎛⎝−1⎞⎠ddx⎛⎝1−x2⎞⎠−12=⎛⎝−1⎞⎠⎛⎝−12⎞⎠⎛⎝1−x2⎞⎠−32ddx⎛⎝1−x2⎞⎠=12(1−x2)32⎛⎝−2x⎞⎠=−x(1−x2)32=−cosy(1−cos2y)32=−cosy(sin2y)32=−cosysin3y=−coty cosec2y
shivam496:
it is wrong. the right answer is -coty. cosec^2y
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