Advertisements
Advertisements
प्रश्न
Differentiate the following with respect to x.
x4 – 3 sin x + cos x
Advertisements
उत्तर
Let y = x4 – 3 sin x + cos x
`"dy"/"dx" = "d"/"dx" (x^4) - 3 "d"/"dx" (sin x) + "d"/"dx" (cos x)`
= 4x3 – 3 cos x – sin x
APPEARS IN
संबंधित प्रश्न
Differentiate the following with respect to x.
`(x^2 + x + 1)/(x^2 - x + 1)`
Differentiate the following with respect to x.
x sin x
Differentiate the following with respect to x.
ex (x + log x)
If `xsqrt(1 + y) + ysqrt(1 + x)` = 0 and x ≠ y, then prove that `"dy"/"dx" = - 1/(x + 1)^2`
Differentiate the following with respect to x.
(sin x)x
Differentiate the following with respect to x.
(sin x)tan x
Find `"dy"/"dx"` of the following function:
x = a(θ – sin θ), y = a(1 – cos θ)
Differentiate sin2x with respect to x2.
If y = 2 + log x, then show that xy2 + y1 = 0.
If y = tan x, then prove that y2 - 2yy1 = 0.
