derivative of f(x)=2x+sqrt(x) — step-by-step solution

⚠ 2x is read as the product 2*x: for a power, write 2^x

We save the definition:

f (x) = 2 x + \sqrt{x}

Let's differentiate:

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

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

ℹ

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

2

‖

\frac{d}{d x} (\sqrt{x})

\frac{1}{2 \sqrt{x}}

2 + \frac{1}{2 \sqrt{x}}

▶Derivative:

\frac{1}{2 \sqrt{x}} + 2