What is the derivative of sqrt(4x+10) ?

The derivative of sqrt(4x+10) is 2/(sqrt(4x+10))

What is the first derivative of sqrt(4x+10) ?

The first derivative of sqrt(4x+10) is 2/(sqrt(4x+10))

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\frac{d}{d x} (4 x + 10)

\frac{2}{4 x + 10}

Solution steps

\frac{d}{d x} (4 x + 10)

Apply the chain rule:

\frac{1}{2 4 x + 10} \frac{d}{d x} (4 x + 10)

= \frac{1}{2 4 x + 10} \frac{d}{d x} (4 x + 10)

\frac{d}{d x} (4 x + 10) = 4

= \frac{1}{2 4 x + 10} \cdot 4

Simplify

\frac{1}{2 4 x + 10} \cdot 4 : \frac{2}{4 x + 10}

= \frac{2}{4 x + 10}

\int_{2}^{6} (\frac{x}{2} + 1) d x

\frac{d y}{d x} = 2 x y

y^{^{''}} + 6 y^{^{'}} + 90 y = 0

f (x) = 2 x^{2}, at x = - 3

What is the derivative of sqrt(4x+10) ?
The derivative of sqrt(4x+10) is 2/(sqrt(4x+10))
What is the first derivative of sqrt(4x+10) ?
The first derivative of sqrt(4x+10) is 2/(sqrt(4x+10))