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Definition of Functions

Why a sharp k...

Question

Why a sharp kink in graphs are not differentiable and why for maxima dy/dx is negative and for minima dy/dxis positive

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Solution

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Similar questions

Why is Euclid's division algorithm , only for positive numbers.? Why not for negative numbers. ?

ϕ (x)

\frac{d y}{d x}

y = e^{sin ϕ (x)}

y = f (u)

u

u = g (x)

x

y = f (g (x))

x

\frac{d y}{d x} = \frac{d y}{d u} \times \frac{d y}{d x}

\frac{y - x \frac{d y}{d x}}{\frac{d y}{d x}} = {(\frac{d y}{d x})}^{2}

x

y

t

\frac{d y}{d x} = \frac{\frac{d y}{d t}}{\frac{d x}{d t}}

\frac{d x}{d t} \neq 0

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