Find dy/dx.

Question

Find dy/dx.

anonymous · Answer

$$y=\pi ^{3}$$
I got 3$$3\pi ^{2}$$ as an answer but solutions manual tells me answer is zero? :/

tkhunny · Answer

$\pi$ is a constant.  You're not trying to find $\dfrac{dy}{d\pi}$

anonymous · Answer

The answer is 0 because π is a number and not a variable such as x, where dy/dx of x would be 1.

anonymous · Answer

that makes sense! thank you both! @tkhunny @juststoper 
How would I find $$f \prime(x)=x ^{\pi}+\frac{ 1 }{ x ^{\sqrt{10}} }$$ the solutions say the answer is $$\pi x ^{\pi-1}-\frac{ \sqrt{10} }{ x ^{1+\sqrt{10}} }$$
I understand how they got the first part but don't understand the fractional part

tkhunny · Answer

$\dfrac{d}{dx}x^{-\sqrt{10}} = -\sqrt{10}x^{-\sqrt{10} - 1}$

anonymous · Answer

Hm okay! but how would the exponent on x turn to $$1+\sqrt{10}$$?

tkhunny · Answer

$\dfrac{1}{a^{b}} = a^{-b}$

anonymous · Answer

I get it now. At least I think I do! Thank you very much! :)

tkhunny · Answer

The WHOLE trouble with the problem is the ugly numbers.  Would you even have struggled with $\dfrac{1}{x^{2}}$?  I doubt it.  Don't let ugly numbers scare you.

anonymous · Answer

your right thats what got me I saw it and just got so confused -_- Thank you again for your help! I appreciate it