Question

$$y(x)=\frac{(x+1)^{\prime}(5x-1)-(3x-1)(x+1)}{(5x-1)^{s}}$$

Answer

$$y=(x+1'*(5*x-1)-(3*x-1)*(x+1))/(x*(5*x-1)^s)$$

Solution


Remove parentheses.
\[yx=\frac{x+1'(5x-1)-(3x-1)(x+1)}{{(5x-1)}^{s}}\]
Divide both sides by \(x\).
\[y=\frac{\frac{x+1'(5x-1)-(3x-1)(x+1)}{{(5x-1)}^{s}}}{x}\]
Simplify  \(\frac{\frac{x+1'(5x-1)-(3x-1)(x+1)}{{(5x-1)}^{s}}}{x}\)  to  \(\frac{x+1'(5x-1)-(3x-1)(x+1)}{x{(5x-1)}^{s}}\).
\[y=\frac{x+1'(5x-1)-(3x-1)(x+1)}{x{(5x-1)}^{s}}\]