Nikolas H.

asked • 09/28/22

Limit Derivative

Use the limit definition of the derivative to find f'(x)=x^2+5

Michael M.

lim [f(x+h)-f(x)]/h h-->0 [(x+h)^2+5-(x^2+5)]/h---plug in f(x+h) and f(x) [x^2+2xh+h^2+5-x^2-5]/h---expand [2xh+h^2]/h---simplify 2x+h---divide out h 2x+0=2x---plug in limit answer:2x Hope this helps!
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09/28/22

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