Differentiate- 2-x2-b2

Let y=2√( x ^ 2 + b ^ 2 ) ⇒ dy dx = 1 2√( x ^ 2 + b ^ 2 ) #160; 2x ⇒ dy dx = x √( x ^ 2 + b ^ 2 ) #160; ...

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Chain Rule of Differentiation

Differentiate...

Question

Differentiate: $2 \sqrt{x^{2} + b^{2}}$

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\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

\frac{x^{2}}{(x^{2} + a^{2}) (x^{2} + b^{2})} = k [\frac{a^{2}}{x^{2} + a^{2}} - \frac{b^{2}}{x^{2} + b^{2}}] \Rightarrow k =

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e^{2 y} + 2 b x e^{y} + b^{2} = 0,

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