Browse Questions

# Using differentials, find the approximate value of each of the following: $(33)^{-\large\frac{1}{5}}$

Toolbox:
• Let $y=f(x)$
• $\Delta x$ denote a small increment in $x$
• $\Delta y=f(x+\Delta x)-f(x)$
• $dy=\big(\large\frac{dy}{dx}\big)$$\Delta x Step 1: F(x+\Delta x)=(33)^{\Large\frac{1}{5}} \qquad\;\qquad=f(x)+\Delta y \qquad\;\qquad=2+\large\frac{dy}{dx}$$\times \Delta x$