What is the derivative of f(x)=sqrt(6-x) ?

The derivative of f(x)=sqrt(6-x) is -1/(2sqrt(6-x))

What is the first derivative of f(x)=sqrt(6-x) ?

The first derivative of f(x)=sqrt(6-x) is -1/(2sqrt(6-x))

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derivative of

f (x) = 6 - x

- \frac{1}{2 6 - x}

Solution steps

\frac{d}{d x} (6 - x)

Apply the chain rule:

\frac{1}{2 6 - x} \frac{d}{d x} (6 - x)

= \frac{1}{2 6 - x} \frac{d}{d x} (6 - x)

\frac{d}{d x} (6 - x) = - 1

= \frac{1}{2 6 - x} (- 1)

Simplify

= - \frac{1}{2 6 - x}

\int_{0}^{2} e^{\frac{x}{2}} d x

\frac{d y}{d x} = \frac{x y ^{3}}{1 + x ^{2}}

\int 4 - 4 x d x

\frac{d y}{y} - 4 x d x = 0

f (x) = x ln (x)

What is the derivative of f(x)=sqrt(6-x) ?
The derivative of f(x)=sqrt(6-x) is -1/(2sqrt(6-x))
What is the first derivative of f(x)=sqrt(6-x) ?
The first derivative of f(x)=sqrt(6-x) is -1/(2sqrt(6-x))