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निम्नलिखित फलनों का x के सापेक्ष अवकलन कीजिए- `e^(x)logsqrtxtanx` |
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Answer» `d/(dx)(e^(x)logsqrtxtanx)` `=d/(dx)[e^(x)xx1/2logxtanx]` `=1/2d/(dx)(e^(x)logxtanx)` `=1/2[e^(x)d/(dx)(logxtanx)+logxtanxd/(dx)(e^(x)]` `=1/2[e^(x){logxd/(dx)(tanx)+tanxd/(dx)(logx)}+logxtanxe^(x)]` `=1/2[e^(x){logx.sec^(2)x+tanx.1/x}+logxtanxe^(x)]` `=(e^(x))/2[logxsec^(2)x+(tanx)/x+logxtanx]` |
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