Need to find f(x)=x^cosx
Okay. I'm pretty sure we're missing an important bit of information, i.e., the question itself.
I found it!! f(x)=x^cosx
Formula: d/dx sinh x=cosh x
look under the couch
Either I'm missing something, or no question is being asked.
I don't understand this question either :(
are you trying to find the derivative??
Wow @satellite73 what makes you think you can go and be helpful?
you don't "find a function" maybe you find the domain or range? derivative or integral? graph?
Yes, the question is find the derivative using the method: d/dx sinh x=cosh
@badreferences Satellite thinks that because it is true.
\[f(x)=x^{\cos(x)}=e^{\cos(x)\ln(x)}\]
take the derivative using the chain rule and the product rule, get \[e^{\cos(x)\ln(x)}\times (-\sin(x)\ln(x)+\frac{\cos(x)}{x})\]
awesome! thank you so much!
yw
satellite will u help me?
Okay this is the last one under the same conditions: \[y= x(x^2+1)\div \sqrt{x+1}\]
\[\frac{x^3+x}{\sqrt{x+1}}\]
\[\frac{\sqrt{x+1}(3x^2+1)-(x^3+x)(.5(\sqrt{x+1})^{-.5}}{x+1}\]
(x-1) squared on the denominator, right?
The original denominator was sqrt(x+1). When you square that, you get x+1
Okay I see, cool...
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