What is the derivative of f(t)=sqrt(5-t) ?

The derivative of f(t)=sqrt(5-t) is -1/(2sqrt(5-t))

What is the first derivative of f(t)=sqrt(5-t) ?

The first derivative of f(t)=sqrt(5-t) is -1/(2sqrt(5-t))

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derivative of

f (t) = 5 - t

- \frac{1}{2 5 - t}

Solution steps

\frac{d}{d t} (5 - t)

Apply the chain rule:

\frac{1}{2 5 - t} \frac{d}{d t} (5 - t)

= \frac{1}{2 5 - t} \frac{d}{d t} (5 - t)

\frac{d}{d t} (5 - t) = - 1

= \frac{1}{2 5 - t} (- 1)

Simplify

= - \frac{1}{2 5 - t}

(ln (1 + 2 x))^{^{'}}

\frac{\partial}{\partial x} (x^{2} + 3 y^{2})

\int \frac{1}{( 36 - x ^{2} ) ^{\frac{3}{2}}} d x

(4 t^{5} - 6 t)^{8}

\frac{\partial}{\partial x} (sin (π (x - 5 y)))

What is the derivative of f(t)=sqrt(5-t) ?
The derivative of f(t)=sqrt(5-t) is -1/(2sqrt(5-t))
What is the first derivative of f(t)=sqrt(5-t) ?
The first derivative of f(t)=sqrt(5-t) is -1/(2sqrt(5-t))