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

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Question

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

Options

  • `cos(x^2 + 5)2x`

  • `tan x`

  • `-[sin(sin x)]`

  • `cos x`

MCQ

Solution

`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)`

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