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

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

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

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

Popular >

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

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

Solution steps

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

Treat

h

as a constant

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int (e^{2 x} - e^{- 2 x}) d x

\int 100 - x^{2} d x

\int_{- 1}^{1} 4 d x

\frac{\partial}{\partial x} (ln (6 x^{2} + 7 y^{2} + 7))

\frac{d y}{d x} + tan (x) y = cos^{2} (x)

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