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.
sin x cos x
Differentiate the following with respect to x.
cos2 x
If 4x + 3y = log(4x – 3y), then find `"dy"/"dx"`
Differentiate the following with respect to x.
xsin x
Differentiate the following with respect to x.
(sin x)x
Differentiate the following with respect to x.
`sqrt(((x - 1)(x - 2))/((x - 3)(x^2 + x + 1)))`
Find y2 for the following function:
x = a cosθ, y = a sinθ
If y = 500e7x + 600e-7x, then show that y2 – 49y = 0.
If y = sin(log x), then show that x2y2 + xy1 + y = 0.
