Practice problem
Find the derivative of f(x)f(x)f(x). f(x)=20+13x0.41+8x0.4f(x)=\frac{20+13x^{0.4}}{1+8x^{0.4}}f(x)=1+8x0.420+13x0.4
f′(x)=1x0.6(1+8x0.4)2f'(x)=\frac{1}{x^{0.6}(1+8x^{0.4})^2}f′(x)=x0.6(1+8x0.4)21
f′(x)=32.5x0.6(1+8x0.4)2f'(x)=\frac{32.5x^{0.6}}{(1+8x^{0.4})^2}f′(x)=(1+8x0.4)232.5x0.6
f′(x)=−58.8x0.6(1+8x0.4)2f'(x)=-\frac{58.8}{x^{0.6}(1+8x^{0.4})^2}f′(x)=−x0.6(1+8x0.4)258.8
f′(x)=6.154f'(x)=6.154f′(x)=6.154
Type a concept, like “slope” or “photosynthesis”.
