For differentiable functions and

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

For differentiable functions x=f(t)x=f(t) and y=g(t)y=g(t), which condition must hold at t=t0t=t_0 so that dydx\dfrac{dy}{dx} is defined at that point? (a) g′(t0)≠0g'(t_0)\neq 0 (b) f′(t0)=g′(t0)f'(t_0)=g'(t_0) (c) f′(t0)≠0f'(t_0)\neq 0 (d) f(t0)≠0f(t_0)\neq 0

Related theory

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