Question

differentiate the following equation f(x)=((1/5)x)^5

Answer 1

\[(\frac{ 1 }{ 5 }x)^5\]

Answer 2

\[(\frac{1}{5}x)^5 = \frac{1}{5^5}x^5=\frac{1}{3125}x^5\]
Using the power rule
\[\frac{d}{dx}x^n=nx^{n-1}\]
\[\frac{d}{dx}=\frac{5}{3125}x^{4}\]

Answer 3

\[3125 \div 5 = 625\]
\[\frac{d}{dx}=\frac{1}{625}x^{4}\]

Answer 4

okay thanks :)