Advertisements
Advertisements
प्रश्न
Differentiate the following with respect to x.
x4 – 3 sin x + cos x
बेरीज
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
shaalaa.com
Differentiation Techniques
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Differential Calculus - Exercise 5.5 [पृष्ठ ११८]
APPEARS IN
संबंधित प्रश्न
Differentiate the following with respect to x.
x3 ex
Differentiate the following with respect to x.
cos2 x
Differentiate the following with respect to x.
sin(x2)
If xm . yn = (x + y)m+n, then show that `"dy"/"dx" = y/x`
Find y2 for the following function:
x = a cosθ, y = a sinθ
If y = 2 + log x, then show that xy2 + y1 = 0.
If y = `(x + sqrt(1 + x^2))^m`, then show that (1 + x2) y2 + xy1 – m2y = 0
If xy . yx , then prove that `"dy"/"dx" = y/x((x log y - y)/(y log x - x))`
If xy2 = 1, then prove that `2 "dy"/"dx" + y^3`= 0
If y = tan x, then prove that y2 - 2yy1 = 0.