What is the derivative of sqrt(100-h^2) ?

The derivative of sqrt(100-h^2) is -h/(sqrt(100-h^2))

What is the first derivative of sqrt(100-h^2) ?

The first derivative of sqrt(100-h^2) is -h/(sqrt(100-h^2))

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derivative of

100 - h^{2}

- \frac{h}{100 - h ^{2}}

Solution steps

\frac{d}{d h} (100 - h^{2})

Apply the chain rule:

\frac{1}{2 100 - h ^{2}} \frac{d}{d h} (100 - h^{2})

= \frac{1}{2 100 - h ^{2}} \frac{d}{d h} (100 - h^{2})

\frac{d}{d h} (100 - h^{2}) = - 2 h

= \frac{1}{2 100 - h ^{2}} (- 2 h)

Simplify

\frac{1}{2 100 - h ^{2}} (- 2 h) : - \frac{h}{100 - h ^{2}}

= - \frac{h}{100 - h ^{2}}

\frac{d}{d x} ((a - x)^{2})

y^{^{'}} - 2 x y = x

\int cos^{5} (d) x d x

\int \frac{10}{1 - sin ^{2} ( x )} d x

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

What is the derivative of sqrt(100-h^2) ?
The derivative of sqrt(100-h^2) is -h/(sqrt(100-h^2))
What is the first derivative of sqrt(100-h^2) ?
The first derivative of sqrt(100-h^2) is -h/(sqrt(100-h^2))