alleryIf a differentiable f has a local extremum at an interior point c, then
Af(c) = 0
Bf'(c) = 0
Cf'(c) = 1
Df''(c) = 0
Answer & Solution
Correct answer: B. f'(c) = 0
At a smooth hilltop or valley bottom the tangent is horizontal, so the slope is zero.
Keep practising Differential Equations
Browse all Differential Equations questions for Bihar Board Class 12 (Commerce), or explore more Mathematics topics.
Related questions
x + 1/x slopes downward on which interval?On which interval is f(x) = cos x strictly decreasing?A continuous function on a closed interval [a, b] always attains what?A rational function p(x)/q(x) is continuous at every x where what holds?At which real numbers is every polynomial function continuous?If the tangent to a curve at a point has slope 4, the normal there has slopeTwo curves are orthogonal at a point if their tangent lines there areMinor of aij is defined as what?