Advertisements
Advertisements
Question
Differentiate the following with respect to x.
x3 ex
Sum
Advertisements
Solution
Let y = x3 ex
`"dy"/"dx" = x^3 "d"/"dx" (e^x) + e^x "d"/"dx" (x^3)`
= x3 (ex) + ex (3x2)
= x2 ex (x + 3)
shaalaa.com
Differentiation Techniques
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Differentiate the following with respect to x.
x sin x
Differentiate the following with respect to x.
sin2 x
Differentiate the following with respect to x.
`sqrt(1 + x^2)`
Find `"dy"/"dx"` of the following function:
x = ct, y = `c/t`
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 y = `(x + sqrt(1 + x^2))^m`, then show that (1 + x2) y2 + xy1 – m2y = 0
If xy2 = 1, then prove that `2 "dy"/"dx" + y^3`= 0
If y = 2 sin x + 3 cos x, then show that y2 + y = 0.
