Q. 115.0( 3 Votes )

# Differentiate the following function w.r.t. x:

y = (sin x) ^{x} + sin^{-1}√x.

Answer :

formula: -

(i)

(ii)

(iv)

(v)

given: -

y = (sin x)^{x} +sin^{-1}√x.

v = sin^{-1}√x.

let u = (sin x) ^{x}

taking log both sides

log u = log (sin x) ^{x}

⇒ log u = x log sin x

Diff. w.r.t x

Adding both v and u

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