Use the product rule.
y = x lnx
y' = x (ln x)' + x' (ln x) = x (1/x) + 1 ln x = 1 + ln x
Use the product rule.
y = x lnx
y' = x (ln x)' + x' (ln x) = x (1/x) + 1 ln x = 1 + ln x
Use the product rule.
y = x lnx
y' = x (ln x)' + x' (ln x) = x (1/x) + 1 ln x = 1 + ln x
Use the product rule.
y = x lnx
y' = x (ln x)' + x' (ln x) = x (1/x) + 1 ln x = 1 + ln x
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Use the product rule.
y = x lnx
y' = x (ln x)' + x' (ln x) = x (1/x) + 1 ln x = 1 + ln x
y"+y'=0 is a differential equation and mean the first derivative plus the second derivative =0.Look at e-x the first derivative is -e-xThe second derivative will be e-xThe sum will be 0
y=3 cos(x) y' = -3 sin(x)
D(y)= sin 2x
sec(x)tan(x)
If dy/dx = (e) (9x) then Y = 4.5ex2 plus (any constant).==================================The above answer explains how to get the integral of e9x.If you were interested in how to get the derivative of e9x, the answer is e9.I suspect you may have actually wanted to ask how to get the derivative of e9x.In that case, the derivative of e9x is 9e9x.