Advertisements
Advertisements
प्रश्न
Differentiate the following with respect to x.
ex (x + log x)
Advertisements
उत्तर
Let y = ex (x + log x)
`"dy"/"dx" = e^x "d"/"dx" (x + log x) + (x + log x) "d"/"dx" (e^x)`
`= e^x (1 + 1/x) + (x + log x)e^x`
`= e^x [1 + 1/x + x + log x]`
APPEARS IN
संबंधित प्रश्न
Differentiate the following with respect to x.
`e^x/(1 + e^x)`
Differentiate the following with respect to x.
sin x cos x
Differentiate the following with respect to x.
x3 ex
Differentiate the following with respect to x.
cos3 x
Find `"dy"/"dx"` for the following function.
x2 – xy + y2 = 1
Find `"dy"/"dx"` of the following function:
x = a(θ – sin θ), y = a(1 – cos θ)
Differentiate sin2x with respect to x2.
Find y2 for the following function:
y = log x + ax
If y = tan x, then prove that y2 - 2yy1 = 0.
If y = 2 sin x + 3 cos x, then show that y2 + y = 0.
