What is the d/(dt)(740(1.714)^t) ?

The d/(dt)(740(1.714)^t) is 398.73406…*1.714^t

What is the first d/(dt)(740(1.714)^t) ?

The first d/(dt)(740(1.714)^t) is 398.73406…*1.714^t

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\frac{d}{d t} (740 (1.714)^{t})

398.73406 \dots \cdot 1.71 4^{t}

Solution steps

\frac{d}{d t} (740 (1.714)^{t})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 740 \frac{d}{d t} (1.71 4^{t})

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= 740 \cdot 1.71 4^{t} ln (1.714)

Simplify

740 \cdot 1.71 4^{t} ln (1.714) : 398.73406 \dots \cdot 1.71 4^{t}

= 398.73406 \dots \cdot 1.71 4^{t}

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What is the d/(dt)(740(1.714)^t) ?
The d/(dt)(740(1.714)^t) is 398.73406…*1.714^t
What is the first d/(dt)(740(1.714)^t) ?
The first d/(dt)(740(1.714)^t) is 398.73406…*1.714^t