What is the derivative of sqrt(x^2+25) ?

The derivative of sqrt(x^2+25) is x/(sqrt(x^2+25))

What is the first derivative of sqrt(x^2+25) ?

The first derivative of sqrt(x^2+25) is x/(sqrt(x^2+25))

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derivative of

x^{2} + 25

\frac{x}{x ^{2} + 25}

Solution steps

\frac{d}{d x} (x^{2} + 25)

Apply the chain rule:

\frac{1}{2 x ^{2} + 25} \frac{d}{d x} (x^{2} + 25)

= \frac{1}{2 x ^{2} + 25} \frac{d}{d x} (x^{2} + 25)

\frac{d}{d x} (x^{2} + 25) = 2 x

= \frac{1}{2 x ^{2} + 25} \cdot 2 x

Simplify

\frac{1}{2 x ^{2} + 25} \cdot 2 x : \frac{x}{x ^{2} + 25}

= \frac{x}{x ^{2} + 25}

\frac{1 + e ^{x}}{1 - e ^{x}}

\frac{d}{d x} ((\frac{x + 5}{x - 5})^{5})

\int sin (3 x) tan (3 x) d x

n = 2 \sum \infty n e^{- 2 n}

f (x) = sin (2 x^{2})

What is the derivative of sqrt(x^2+25) ?
The derivative of sqrt(x^2+25) is x/(sqrt(x^2+25))
What is the first derivative of sqrt(x^2+25) ?
The first derivative of sqrt(x^2+25) is x/(sqrt(x^2+25))