Determine all real numbers such that _ h 0 (k+h)^2-k^2 h =10

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Determine all real numbers kk such that lim⁡h→0(k+h)2−k2h=10.\lim_{h\to 0}\frac{(k+h)^2-k^2}{h}=10. State the value(s) of kk.

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