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sin inverse [x squred into root under of (1-x) -root under of x into root under of( 1-x to the power 4) find dy/dx w.r t x
Asked by broy31122002 | 04 May, 2019, 20:46: PM
answered-by-expert Expert Answer
L e t space y equals sin to the power of negative 1 end exponent open square brackets x squared square root of 1 minus x end root minus square root of x square root of 1 minus x to the power of 4 end root close square brackets L e t space u equals x squared square root of 1 minus x end root minus square root of x square root of 1 minus x to the power of 4 end root rightwards double arrow fraction numerator d y over denominator d x end fraction equals fraction numerator 1 over denominator square root of 1 minus u squared end root end fraction fraction numerator d over denominator d x end fraction open parentheses x squared square root of 1 minus x end root minus square root of x square root of 1 minus x to the power of 4 end root close parentheses rightwards double arrow fraction numerator d y over denominator d x end fraction equals fraction numerator 1 over denominator square root of 1 minus to the power of open square brackets x squared square root of 1 minus x end root minus square root of x square root of 1 minus x to the power of 4 end root close square brackets squared end exponent end root end fraction open square brackets 2 x square root of 1 minus x end root minus fraction numerator x squared over denominator 2 square root of 1 minus x end root end fraction minus fraction numerator square root of 1 minus x to the power of 4 end root over denominator 2 square root of x end fraction plus fraction numerator 4 x cubed square root of x over denominator 2 square root of 1 minus x to the power of 4 end root end fraction close square brackets
Answered by Renu Varma | 05 May, 2019, 15:55: PM

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