Question icon
Grade 12Differential Calculus

differentiate the following function with respect to x
x^(sin^1(x))

Profile image of taniska
12 Years agoGrade 12
Answers icon

1 Answer

Profile image of Rinkoo Gupta
12 Years ago

y=xsinx

taking log on both sides

logy= Sinx logx

using product rule of diff.

(1/y )dy/dx=sinx.(1/x)+logx.cosx

dy/dx=xsinx[(sinx)/x+cosx logx]

AskIITians Faculty

Rinkoo Gupta

Thanks & Regards