(x² + 1) x - NCERT Class XI Mathematics - Limits and Derivatives ...

NCERT Class XI Mathematics - Limits and Derivatives - Solutions

Question : 66 of 72

Marks: +1, -0

(x^2 + 1) \cos x

Solution:

Let f (x) =

(x^2 + 1) \cos x

⇒ f (x) =

x^2

cos x + cos x ... (i)

Differentiating (i) with respect to x, we get

\frac{d}{dx}

[f (x)] = 2x cos x +

x^2

(- sin x) + (- sin x)

= 2x cos x -

x^2

sin x - sin x

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