Question

If y= x sin x^2. Then find the differentiation of y?​

Answer 1

Answer:

x.cosx^2.2x+ sinx^2

Step-by-step explanation:

product rule ...keep x constant and differentiate cosx^2 and diff.x^2 + now keep sinx^2 constant and diff x

Given ,

⇒

integrating both sides

⇒㏑(1 + y) = -㏑ (2+ sin x) + ㏑ c     [where c is a constant]

⇒㏑(1+y) + ㏑(2+ sin x ) = ㏑c

⇒㏑((1+y)(2+ sin x)) = ㏑c

⇒(1+ y)(2+ sin x) = c

Given y(0) = 1

therefore (1+1 )(2+ sin 0) =c ⇔ c = 4

so (1+y)(2 + sin x) = 4

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