What is the derivative of sqrt(4+\sqrt{7x)} ?

The derivative of sqrt(4+\sqrt{7x)} is (sqrt(7))/(4sqrt(x)\sqrt{4+\sqrt{7)sqrt(x)}}

What is the first derivative of sqrt(4+\sqrt{7x)} ?

The first derivative of sqrt(4+\sqrt{7x)} is (sqrt(7))/(4sqrt(x)\sqrt{4+\sqrt{7)sqrt(x)}}

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\frac{d}{d x} (4 + 7 x)

\frac{7}{4 x 4 + 7 x}

Solution steps

\frac{d}{d x} (4 + 7 x)

Apply the chain rule:

\frac{1}{2 4 + 7 x} \frac{d}{d x} (4 + 7 x)

= \frac{1}{2 4 + 7 x} \frac{d}{d x} (4 + 7 x)

\frac{d}{d x} (4 + 7 x) = \frac{7}{2 x}

= \frac{1}{2 4 + 7 x} \cdot \frac{7}{2 x}

Simplify

\frac{1}{2 4 + 7 x} \cdot \frac{7}{2 x} : \frac{7}{4 x 4 + 7 x}

= \frac{7}{4 x 4 + 7 x}

\int_{0}^{1} 5^{4 x} d x

\frac{\partial}{\partial x} (y sin (2 x))

x \to 0 + lim (\frac{1}{ln ( x )})

x y y^{^{'}} = 2 y^{2} + 4 x^{2}

x \to x lim (tan (x))

What is the derivative of sqrt(4+\sqrt{7x)} ?
The derivative of sqrt(4+\sqrt{7x)} is (sqrt(7))/(4sqrt(x)\sqrt{4+\sqrt{7)sqrt(x)}}
What is the first derivative of sqrt(4+\sqrt{7x)} ?
The first derivative of sqrt(4+\sqrt{7x)} is (sqrt(7))/(4sqrt(x)\sqrt{4+\sqrt{7)sqrt(x)}}