What is the derivative of 1+10sqrt(t) ?

The derivative of 1+10sqrt(t) is 5/(sqrt(t))

What is the first derivative of 1+10sqrt(t) ?

The first derivative of 1+10sqrt(t) is 5/(sqrt(t))

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derivative of

1 + 10 t

\frac{5}{t}

Solution steps

\frac{d}{d t} (1 + 10 t)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (1) + \frac{d}{d t} (10 t)

\frac{d}{d t} (1) = 0

\frac{d}{d t} (10 t) = \frac{5}{t}

= 0 + \frac{5}{t}

Simplify

= \frac{5}{t}

What is the derivative of 1+10sqrt(t) ?
The derivative of 1+10sqrt(t) is 5/(sqrt(t))
What is the first derivative of 1+10sqrt(t) ?
The first derivative of 1+10sqrt(t) is 5/(sqrt(t))