What is the derivative of (1+sqrt(x)^2) ?

The derivative of (1+sqrt(x)^2) is (1+sqrt(x))/(sqrt(x))

What is the first derivative of (1+sqrt(x)^2) ?

The first derivative of (1+sqrt(x)^2) is (1+sqrt(x))/(sqrt(x))

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\frac{d}{d x} ((1 + x)^{2})

\frac{1 + x}{x}

Solution steps

\frac{d}{d x} ((1 + x)^{2})

Apply the chain rule:

2 (1 + x) \frac{d}{d x} (1 + x)

= 2 (1 + x) \frac{d}{d x} (1 + x)

\frac{d}{d x} (1 + x) = \frac{1}{2 x}

= 2 (1 + x) \frac{1}{2 x}

Simplify

2 (1 + x) \frac{1}{2 x} : \frac{1 + x}{x}

= \frac{1 + x}{x}

\frac{\partial}{\partial x} (t x e^{\frac{x ^{2}}{2 t}})

x^{4} - 9 x^{2}, x^{2} - 9

2 csc (x)

\frac{\partial}{\partial x} (\frac{1}{2} ln (x^{2} + y^{2}))

y = x^{4} + 4 e^{x}

What is the derivative of (1+sqrt(x)^2) ?
The derivative of (1+sqrt(x)^2) is (1+sqrt(x))/(sqrt(x))
What is the first derivative of (1+sqrt(x)^2) ?
The first derivative of (1+sqrt(x)^2) is (1+sqrt(x))/(sqrt(x))