Advertisements
Advertisements
प्रश्न
Differentiate the following with respect to x.
x3 ex
योग
Advertisements
उत्तर
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
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
APPEARS IN
संबंधित प्रश्न
Differentiate the following with respect to x.
sin x cos x
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.
sin(x2)
Find `"dy"/"dx"` for the following function.
x3 + y3 + 3axy = 1
Differentiate the following with respect to x.
xsin x
Find `"dy"/"dx"` of the following function:
x = log t, y = sin t
Find `"dy"/"dx"` of the following function:
x = a cos3θ, y = a sin3θ
If xy2 = 1, then prove that `2 "dy"/"dx" + y^3`= 0
If y = tan x, then prove that y2 - 2yy1 = 0.
