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.
`(sqrtx + 1/sqrtx)^2`
Differentiate the following with respect to x.
`e^x/(1 + x)`
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.
sin(x2)
Find `"dy"/"dx"` for the following function.
x2 – xy + y2 = 1
Differentiate the following with respect to x.
xsin x
If xm . yn = (x + y)m+n, then show that `"dy"/"dx" = y/x`
If y = 2 + log x, then show that xy2 + y1 = 0.
If y = 2 sin x + 3 cos x, then show that y2 + y = 0.
