What is the derivative of 4sqrt(x-3) ?

The derivative of 4sqrt(x-3) is 2/(sqrt(x-3))

What is the first derivative of 4sqrt(x-3) ?

The first derivative of 4sqrt(x-3) is 2/(sqrt(x-3))

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\frac{d}{d x} (4 x - 3)

\frac{2}{x - 3}

Solution steps

\frac{d}{d x} (4 x - 3)

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (x - 3)

Apply the chain rule:

\frac{1}{2 x - 3} \frac{d}{d x} (x - 3)

= \frac{1}{2 x - 3} \frac{d}{d x} (x - 3)

\frac{d}{d x} (x - 3) = 1

= 4 \cdot \frac{1}{2 x - 3} \cdot 1

Simplify

4 \cdot \frac{1}{2 x - 3} \cdot 1 : \frac{2}{x - 3}

= \frac{2}{x - 3}

(x + 2 y^{2}) \cdot d x + x y \cdot d y = 0

\int \frac{x}{7 x ^{2} - 3} d x

\int (sin^{2} (x)) d x

x \to a lim (f (a))

\int 9 x cos (4 x) d x

What is the derivative of 4sqrt(x-3) ?
The derivative of 4sqrt(x-3) is 2/(sqrt(x-3))
What is the first derivative of 4sqrt(x-3) ?
The first derivative of 4sqrt(x-3) is 2/(sqrt(x-3))