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

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

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

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

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

\frac{x + c}{x}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{x + c}{x}

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