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CBSE Class 12-science Answered

The method of first taking logarithms & obtaining the derivatives function 1] [tan⁡x]^sinx
Asked by surajchechar | 15 Feb, 2018, 10:48: PM
answered-by-expert Expert Answer
begin mathsize 16px style straight y equals tanx to the power of sinx In space such space functions space straight f left parenthesis straight x right parenthesis to the power of straight g left parenthesis straight x right parenthesis end exponent space we space use space logarithmic space function space to space find space derivatives. logy equals log tan straight x to the power of sinx logy equals sinxlogtanx 1 over straight y dy over dx equals sinx cross times 1 over tanx cross times sec squared straight x plus logtanx cross times cosx dy over dx equals tanx to the power of sinx open parentheses cosx sec squared straight x plus logtanx cross times cosx close parentheses dy over dx equals tanx to the power of sinx open parentheses secx plus logtanx cross times cosx close parentheses end style
Answered by Sneha shidid | 16 Feb, 2018, 10:14: AM

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