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Popular >

derivative of 3sqrt(x-4)

Solution

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

Solution

\frac{3}{2 x - 4}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

\frac{1}{2 x - 4} \frac{d}{d x} (x - 4)

= \frac{1}{2 x - 4} \frac{d}{d x} (x - 4)

\frac{d}{d x} (x - 4) = 1

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

Simplify

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

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

Popular Examples

limit as x approaches infinity of (e^{3x-8})/(5x)

x \to \infty lim (\frac{e ^{3 x - 8}}{5 x})

integral of (-x+3)

\int (- x + 3) d x

(\partial)/(\partial x)(arctan(z/x))

\frac{\partial}{\partial x} (arctan (\frac{z}{x}))

y^{''}-10y^'+50y=0,y(0)=5,y^'(0)=-2

y^{^{''}} - 10 y^{^{'}} + 50 y = 0, y (0) = 5, y^{^{'}} (0) = - 2

5y^{''}+30y=0,y(0)=5,y^'(0)=5

5 y^{^{''}} + 30 y = 0, y (0) = 5, y^{^{'}} (0) = 5

Frequently Asked Questions (FAQ)

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