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.
`5/x^4 - 2/x^3 + 5/x`
Differentiate the following with respect to x.
xsin x
Differentiate the following with respect to x.
(sin x)x
If xm . yn = (x + y)m+n, then show that `"dy"/"dx" = y/x`
Find `"dy"/"dx"` of the following function:
x = log t, y = sin t
Differentiate sin3x with respect to cos3x.
Find y2 for the following function:
x = a cosθ, y = a sinθ
If xy . yx , then prove that `"dy"/"dx" = y/x((x log y - y)/(y log x - x))`
If y = tan x, then prove that y2 - 2yy1 = 0.
If y = 2 sin x + 3 cos x, then show that y2 + y = 0.
