Q. 54.8( 4 Votes )

# If then write the value of f’(x).  [CBSE 2014]

Given

Let us first integrate and find f(x)

Using uv rule where u and v are functions of x

Here u = t and v = sint

f(x) = - xcosx + sinx

f’(x) means differentiating function with respect to x

Using uv rule for differentiation where u and v are functions of x

(uv)’ = u’v + uv’

f’(x) = - (1cosx + x(-sinx)) + cosx

f’(x) = - cosx + xsinx + cosx

f’(x) = xsinx

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