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# what is the derivative of f(x)= ((f(x)-sqrt(x))/5)

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what is the derivative of f(x)= ((f(x)-sqrt(x))/5)

Guest Sep 15, 2014

#1
+92217
+10

$$\\f(x)=\frac{f(x)-\sqrt x}{5}\\\\ 5f(x)=f(x)-\sqrt x\\\\ 4f(x)=-\sqrt x\\\\ f(x)=\dfrac{-x^{0.5}}{4}\\\\ f'(x)=\dfrac{-0.5x^{-0.5}}{4}\\\\ f'(x)=\dfrac{-0.5}{4\sqrt{x}}\\\\ f'(x)=\dfrac{-1}{8\sqrt{x}}\\\\$$

I think that is what you wanted.

Melody  Sep 15, 2014
Sort:

#1
+92217
+10

$$\\f(x)=\frac{f(x)-\sqrt x}{5}\\\\ 5f(x)=f(x)-\sqrt x\\\\ 4f(x)=-\sqrt x\\\\ f(x)=\dfrac{-x^{0.5}}{4}\\\\ f'(x)=\dfrac{-0.5x^{-0.5}}{4}\\\\ f'(x)=\dfrac{-0.5}{4\sqrt{x}}\\\\ f'(x)=\dfrac{-1}{8\sqrt{x}}\\\\$$

I think that is what you wanted.

Melody  Sep 15, 2014
#2
+85727
0

Nice one, Melody.....!!!

CPhill  Sep 15, 2014
#3
+92217
0

Thanks Chris.

Melody  Sep 15, 2014

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