What is the derivative of sqrt(5t) ?

The derivative of sqrt(5t) is (sqrt(5))/(2sqrt(t))

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

The first derivative of sqrt(5t) is (sqrt(5))/(2sqrt(t))

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derivative of

5 t

\frac{5}{2 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) = 5

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

Simplify

\frac{1}{2 5 t} \cdot 5 : \frac{5}{2 t}

= \frac{5}{2 t}

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

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

2 sin (x), [0, π]

f (x) = \frac{5}{2 5 x + 6}, at x = 6

\frac{\partial}{\partial x} (3 x)

What is the derivative of sqrt(5t) ?
The derivative of sqrt(5t) is (sqrt(5))/(2sqrt(t))
What is the first derivative of sqrt(5t) ?
The first derivative of sqrt(5t) is (sqrt(5))/(2sqrt(t))