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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\frac{d}{d x} (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}

sin (7 x) + cos (6 x), at \frac{π}{6}

y = x^{2} 8 + x

n = 1 \sum \infty ln (\frac{1}{n + 1})

\int cosh (\frac{x}{27.2632}) d x

f (x) = x^{3} (x^{2} - 4)

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))