Advertisements
Advertisements
Question
Differentiate the following with respect to x.
x3 ex
Sum
Advertisements
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)
shaalaa.com
Differentiation Techniques
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Differentiate the following with respect to x.
`(3 + 2x - x^2)/x`
Differentiate the following with respect to x.
`(x^2 + x + 1)/(x^2 - x + 1)`
Differentiate the following with respect to x.
cos3 x
Differentiate the following with respect to x.
`sqrt(1 + x^2)`
Differentiate the following with respect to x.
`1/sqrt(1 + x^2)`
If 4x + 3y = log(4x – 3y), then find `"dy"/"dx"`
If xm . yn = (x + y)m+n, then show that `"dy"/"dx" = y/x`
Differentiate sin3x with respect to cos3x.
Find y2 for the following function:
y = log x + ax
If xy2 = 1, then prove that `2 "dy"/"dx" + y^3`= 0
