Interpretation: We take two points on a curve, bring them infinitely close together, and measure the slope of the resulting tangent line.
[ f'(x) = \lim_h \to 0 \fracf(x+h) - f(x)h ]
To compute a definite integral (total accumulation), evaluate the antiderivative at the endpoints and subtract.
Differentiation and integration are inverse operations.
Interpretation: We take two points on a curve, bring them infinitely close together, and measure the slope of the resulting tangent line.
[ f'(x) = \lim_h \to 0 \fracf(x+h) - f(x)h ] calculus.mathlife
To compute a definite integral (total accumulation), evaluate the antiderivative at the endpoints and subtract. Interpretation: We take two points on a curve,
Differentiation and integration are inverse operations. bring them infinitely close together