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$x_0 = 10, dx \approx \bigtriangleup x = 0.2$

$f(x) = \frac{4}{3} \pi x^3$

$f^'(x) = 4 \pi x^2$

$f(\bigtriangleup x) \approx f^'(x_0) dx$

$\approx 4 \pi 10^2 (0.2) $

$\approx 80 \pi$