+0

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

0
206
3

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

Guest Sep 15, 2014

#1
+91451
+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
+91451
+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
+81022
0

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

CPhill  Sep 15, 2014
#3
+91451
0

Thanks Chris.

Melody  Sep 15, 2014

### 1 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details