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Question Number 96041 by mhmd last updated on 29/May/20
if f(x)=3^x^(2+x^3 ) find f′(x)?
iff(x)=3x2+x3findf′(x)?
Answered by Sourav mridha last updated on 29/May/20
so,f^′ (x)=ln3.3^x^(2+x^3 ) (d/dx)(e^((2+x^3 ).lnx) ) =ln3.3^x^(2+x^3 ) .x^(2+x^3 ) .[x^2 +(2/x)+3x^2 lnx]
so,f′(x)=ln3.3x2+x3ddx(e(2+x3).lnx)=ln3.3x2+x3.x2+x3.[x2+2x+3x2lnx]

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