Let fx 3 sinx sin1x Findfx f x Solutionwe have given fx3sin

Let f(x) = 3 sin(x) sin^-1(x). Findf\'(x). f (x) =

Solution

we have given f(x)=3sin(x)sin-1(x)

differentiating with respect to x

f\'(x)=3[sin(x)*(1/sqrt(1-x2))+sin-1(x)cos(x)]    since d/dx(uv)=u(dv/dx)+v(du/dx)

f\'(x)=(3sin(x)/sqrt(1-x2))+(3sin-1(x)cos(x))

 Let f(x) = 3 sin(x) sin^-1(x). Findf\'(x). f (x) =Solutionwe have given f(x)=3sin(x)sin-1(x) differentiating with respect to x f\'(x)=3[sin(x)*(1/sqrt(1-x2))+s

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