Jaweria
  • Jaweria
Help me Please!! y=cos^-1(sin x+5).
Calculus1
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Jaweria
  • Jaweria
\[Y=\cos^{-1} (\sin x+5).\]
saifoo.khan
  • saifoo.khan
And what do we have to do with this equation?
Jaweria
  • Jaweria
We have to take derivative

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saifoo.khan
  • saifoo.khan
@satellite73
anonymous
  • anonymous
there is no such thing!
anonymous
  • anonymous
\[4\leq \sin(x)+5\leq 6\] and that is not in the domain of arccosine
Jaweria
  • Jaweria
what is that?
anonymous
  • anonymous
the derivative of vos^-1(x) \[\Large \frac{d}{dx}(\cos^{-1}(x))=\frac{-1}{\sqrt{1-x^2}}\] replace x with sinx+5 use chanin rule \[\Large \frac{d}{dx}(\cos^-1{(\sin x+5)}=\frac{-1}{\sqrt{1-(\sin(x)+5)^2}}*\frac{d}{dx}(\sin(x+5))\]
Jaweria
  • Jaweria
but what will be my answer for this equation? can you please help all the way till the answer?
anonymous
  • anonymous
last time i provided answer was reported . try it i will guide you .
anonymous
  • anonymous
maybe it is \[\cos^{-1}(\sin(x+5))\]
anonymous
  • anonymous
if so, then start with \[\cos^{-1}(\sin(x+5))=\sqrt{1-(x+5)^2}\] and differentiate that

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