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CBSE Class 12 · 2019 · DifferentiationShort Answer

If

y = x ∣ x ∣

, find

\frac{d y}{d x}

for

x < 0

.

Answer: $- 2 x$

Solution

For

x < 0

we have

∣ x ∣ = - x

, so the function becomes a polynomial on that interval.

y = x (- x) = - x^{2}

Differentiate:

\frac{d y}{d x} = - 2 x (x < 0)

CBSE Class 12 Board · 2019 · Subjective

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