Advertisements
Advertisements
Question
Differentiate the following with respect to x.
x3 ex
Solution
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
RELATED QUESTIONS
Differentiate the following with respect to x.
`sqrtx + 1/root(3)(x) + e^x`
Differentiate the following with respect to x.
`(3 + 2x - x^2)/x`
Differentiate the following with respect to x.
(x2 – 3x + 2) (x + 1)
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"` 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 = sin(log x), then show that x2y2 + xy1 + y = 0.
If xy2 = 1, then prove that `2 "dy"/"dx" + y^3`= 0
