InterviewSolution
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InterviewSolution
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Differentiate the following functions with respect to `x :``(2^2cotx)/(sqrt(x))`(ii) `e^xlogsqrt(x)tanx` |
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Answer» i) `y= (2^2 cot x)/(sqrtx)` `= (4cot x)/sqrtx` `dy/dx = (4[sqrtx d/dx(cot x) - cot x d/dx(sqrtx)])/(sqrtx)^2` `= 4[sqrtx(-cosec^2 x) - cot x xx 1/(2 sqrtx) ]/x` `dy/dx = -(4cosec^2 x)/sqrtx - cot x/(2x sqrtx) ` ii) `y= e^x log sqrtx tan x` `y = e^x 1/2 log x tan x` `y= 1/2[ e^x log x tan x]` `dy/dx = 1/2[e^x log x * tan x + e^x 1/x tan x + e^x log x * sec^2 x]` `= e^x/2[ log x*tan x + tanx/x + log x*sec^2 x]` Answer |
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