Let y-2x-x2-2 then find dydx-

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Implicit Differentiation

Let y=2x+x2...

Question

Let $y = 2^{x} + x^{2} + 2$ then find $\frac{d y}{d x}$ .

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Solution

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\frac{d y}{d x}

y = 2^{x} + x^{2} + 2

y = \frac{(x^{2} + 2 x)}{(3 x - 4)}

\frac{d y}{d x}

y = x^{2} - 2 x + 1

y

\frac{d y}{d x} = - 2

y = 1 + \frac{x}{1!} + \frac{x^{2}}{2!} + . . . . . . . . \infty

\frac{d y}{d x}

y = \frac{x^{4} + 4}{x^{2} - 2 x + 2}

\frac{d y}{d x} |_{x = \frac{1}{2}}

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