What is the derivative of (x^2+a^2)^{1/2} ?

The derivative of (x^2+a^2)^{1/2} is x/((x^2+a^2)^{1/2)}

What is the first derivative of (x^2+a^2)^{1/2} ?

The first derivative of (x^2+a^2)^{1/2} is x/((x^2+a^2)^{1/2)}

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derivative of

(x^{2} + a^{2})^{\frac{1}{2}}

\frac{x}{( x ^{2} + a ^{2} ) ^{\frac{1}{2}}}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{2 ( x ^{2} + a ^{2} ) ^{\frac{1}{2}}} \cdot 2 x

Simplify

\frac{1}{2 ( x ^{2} + a ^{2} ) ^{\frac{1}{2}}} \cdot 2 x : \frac{x}{( x ^{2} + a ^{2} ) ^{\frac{1}{2}}}

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

e^{0.1 t - 1} (5 + t)

a^{2} - x^{2}

((\frac{n}{sin ( x )}) - 1) l

(5 + 3 cos (x)) (1 - 4 tan (x))

(x - 2) (\frac{1}{x + 2}) (x^{3})

What is the derivative of (x^2+a^2)^{1/2} ?
The derivative of (x^2+a^2)^{1/2} is x/((x^2+a^2)^{1/2)}
What is the first derivative of (x^2+a^2)^{1/2} ?
The first derivative of (x^2+a^2)^{1/2} is x/((x^2+a^2)^{1/2)}