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y= (sinx)^(x^2)
lny = x^2.ln(sinx)
(1/y)y' = x^2. cotx + 2xln(sinx)
y' = [ x^2. cotx + 2xln(sinx) ] .(sinx)^(x^2)
y= x^(2^x)
lny = 2^x.lnx
(1/y)y' = (1/x - (ln2)lnx ) .2^x
y' =(1/x - (ln2)lnx ) .2^x .x^(2^x)
lny = x^2.ln(sinx)
(1/y)y' = x^2. cotx + 2xln(sinx)
y' = [ x^2. cotx + 2xln(sinx) ] .(sinx)^(x^2)
y= x^(2^x)
lny = 2^x.lnx
(1/y)y' = (1/x - (ln2)lnx ) .2^x
y' =(1/x - (ln2)lnx ) .2^x .x^(2^x)
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