Question

Differentiate the function from over no 15 to 20 sin (x² + 5)

पर्याय

• `cos(x^2 + 5)2x`

• `tan x`

• `-[sin(sin x)]`

• `cos x`

Answer 1

`cos(x^2 + 5)2x`

Explanation:

Let, `y = sin (x^2 + 5)`

Put `x^2 + 5 = t`,

∴ `y = sin t, t -= x^2 + 5`

`(dy)/(dx) = (dy)/(dt) * (dt)/(dx)`

`cos t * (dt)/(dx) = cos (x^2 + 5) d/(dx) (x^2 + 5)`

= `cos (x^2 + 5) xx 2x`

= `2x cos (x^2 + 5)`