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CBSE Class 12-science Answered

diffrentiate wrt x  Tan-1 { x / (a2 – x2)1/2}
Asked by haroonrashidgkp | 27 May, 2018, 12:47: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight y equals tan to the power of negative 1 end exponent open parentheses fraction numerator straight x over denominator square root of straight a squared minus straight x squared end root end fraction close parentheses straight x space equals space acosθ space rightwards double arrow space straight theta equals cos to the power of negative 1 end exponent open parentheses straight x over straight a close parentheses straight y equals tan to the power of negative 1 end exponent open parentheses fraction numerator acosθ over denominator square root of straight a squared minus straight a squared cos squared straight theta end root end fraction close parentheses straight y equals tan to the power of negative 1 end exponent open parentheses acosθ over asinθ close parentheses straight y equals tan to the power of negative 1 end exponent open parentheses cotθ close parentheses straight y equals tan to the power of negative 1 end exponent open square brackets tan open parentheses straight pi over 2 minus straight theta close parentheses close square brackets straight y equals straight pi over 2 minus straight theta straight y equals straight pi over 2 minus cos to the power of negative 1 end exponent open parentheses straight x over straight a close parentheses dy over dx equals 0 minus fraction numerator negative 1 over denominator square root of 1 minus straight x squared over straight a squared end root end fraction cross times 1 over straight a dy over dx equals fraction numerator 1 over denominator square root of straight a squared minus straight x squared end root end fraction end style
Answered by Sneha shidid | 28 May, 2018, 10:17: AM

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