If y=∣∣f(x)lag(x)mbh(x)nc∣∣, prove that dxdy=∣∣fprime(x)lagprime(x)mbhprime(x)nc∣∣

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Question

If $y = ∣ ∣ f (x) l a g (x) m b h (x) n c ∣ ∣$ , prove that $\frac{d y}{d x} = ∣ ∣ f p r i m e (x) l a g p r i m e (x) m b h p r i m e (x) n c ∣ ∣$

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y = ∣ ∣ f (x) l a g (x) m b h (x) n c ∣ ∣

, prove that

\frac{d y}{d x} = ∣ ∣ f p r i m e (x) l a g p r i m e (x) m b h p r i m e (x) n c ∣ ∣

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Question Text

y = ∣ ∣ f (x) l a g (x) m b h (x) n c ∣ ∣

, prove that

\frac{d y}{d x} = ∣ ∣ f p r i m e (x) l a g p r i m e (x) m b h p r i m e (x) n c ∣ ∣