What is the derivative of sqrt(2+5x) ?

The derivative of sqrt(2+5x) is 5/(2sqrt(2+5x))

What is the first derivative of sqrt(2+5x) ?

The first derivative of sqrt(2+5x) is 5/(2sqrt(2+5x))

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\frac{d}{d x} (2 + 5 x)

\frac{5}{2 2 + 5 x}

Solution steps

\frac{d}{d x} (2 + 5 x)

Apply the chain rule:

\frac{1}{2 2 + 5 x} \frac{d}{d x} (2 + 5 x)

= \frac{1}{2 2 + 5 x} \frac{d}{d x} (2 + 5 x)

\frac{d}{d x} (2 + 5 x) = 5

= \frac{1}{2 2 + 5 x} \cdot 5

Simplify

\frac{1}{2 2 + 5 x} \cdot 5 : \frac{5}{2 2 + 5 x}

= \frac{5}{2 2 + 5 x}

x \to \infty lim (9 x^{2} + x - 3)

\int \frac{1}{( x + 1 ) x ^{2} + 2 x - 8} d x

\int \frac{3 x - 1}{x ^{2} + 9} d x

\frac{d}{d x} (ln (g (x)))

\int \frac{x}{( x ^{2} + 9 ) ^{2}} d x

What is the derivative of sqrt(2+5x) ?
The derivative of sqrt(2+5x) is 5/(2sqrt(2+5x))
What is the first derivative of sqrt(2+5x) ?
The first derivative of sqrt(2+5x) is 5/(2sqrt(2+5x))