Advertisements
Advertisements
प्रश्न
Differentiate the following with respect to x.
x3 ex
Advertisements
उत्तर
Let y = x3 ex
[∵ We have product of two functions, so use product rule]
= x3 ex + ex (3x2)
= ex (x3 + 3x2)
= x2 ex (x + 3)
APPEARS IN
संबंधित प्रश्न
Differentiate the following with respect to x.
`sqrtx + 1/root(3)(x) + e^x`
Differentiate the following with respect to x.
x sin x
Differentiate the following with respect to x.
sin x cos x
Find `"dy"/"dx"` for the following function
xy – tan(xy)
Differentiate the following with respect to x.
(sin x)x
Find `"dy"/"dx"` of the following function:
x = a(θ – sin θ), y = a(1 – cos θ)
If y = 500e7x + 600e-7x, then show that y2 – 49y = 0.
If y = 2 + log x, then show that xy2 + y1 = 0.
If = a cos mx + b sin mx, then show that y2 + m2y = 0.
If xy . yx , then prove that `"dy"/"dx" = y/x((x log y - y)/(y log x - x))`
