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Mathematics 24 Online
OpenStudy (anonymous):

Need to find f(x)=x^cosx

OpenStudy (anonymous):

Okay. I'm pretty sure we're missing an important bit of information, i.e., the question itself.

OpenStudy (mertsj):

I found it!! f(x)=x^cosx

OpenStudy (anonymous):

Formula: d/dx sinh x=cosh x

OpenStudy (anonymous):

look under the couch

OpenStudy (anonymous):

Either I'm missing something, or no question is being asked.

OpenStudy (anonymous):

I don't understand this question either :(

OpenStudy (anonymous):

are you trying to find the derivative??

OpenStudy (anonymous):

Wow @satellite73 what makes you think you can go and be helpful?

OpenStudy (anonymous):

you don't "find a function" maybe you find the domain or range? derivative or integral? graph?

OpenStudy (anonymous):

Yes, the question is find the derivative using the method: d/dx sinh x=cosh

OpenStudy (mertsj):

@badreferences Satellite thinks that because it is true.

OpenStudy (anonymous):

\[f(x)=x^{\cos(x)}=e^{\cos(x)\ln(x)}\]

OpenStudy (anonymous):

take the derivative using the chain rule and the product rule, get \[e^{\cos(x)\ln(x)}\times (-\sin(x)\ln(x)+\frac{\cos(x)}{x})\]

OpenStudy (anonymous):

awesome! thank you so much!

OpenStudy (anonymous):

yw

OpenStudy (anonymous):

satellite will u help me?

OpenStudy (anonymous):

Okay this is the last one under the same conditions: \[y= x(x^2+1)\div \sqrt{x+1}\]

OpenStudy (mertsj):

\[\frac{x^3+x}{\sqrt{x+1}}\]

OpenStudy (mertsj):

\[\frac{\sqrt{x+1}(3x^2+1)-(x^3+x)(.5(\sqrt{x+1})^{-.5}}{x+1}\]

OpenStudy (anonymous):

(x-1) squared on the denominator, right?

OpenStudy (mertsj):

The original denominator was sqrt(x+1). When you square that, you get x+1

OpenStudy (anonymous):

Okay I see, cool...

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