Question
Download Solution PDFIf x2 - y2 = a2 then \(\rm \dfrac{dy}{dx} = \)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Derivative Rule:
\(\rm \frac {d}{dx}x^n = n x^{n-1}\)
Calculations:
Given, x2 - y2 = a2
Taking derivative w. r. to x, we get
⇒ 2x - 2y \(\rm \dfrac {dy}{dx}\) = 0
⇒ x - y \(\rm \dfrac {dy}{dx}\) = 0
⇒ x = y \(\rm \dfrac {dy}{dx}\)
⇒ \(\rm \dfrac {dy}{dx} = \dfrac x y\)
Hence, if x2 - y2 = a2 then
\(\rm \dfrac {dy}{dx} = \dfrac x y\)
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