What is the derivative of 39.25(10.13)^t ?

The derivative of 39.25(10.13)^t is 90.88342…*10.13^t

What is the first derivative of 39.25(10.13)^t ?

The first derivative of 39.25(10.13)^t is 90.88342…*10.13^t

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derivative of

39.25 (10.13)^{t}

90.88342 \dots \cdot 10.1 3^{t}

Solution steps

\frac{d}{d t} (39.25 \cdot 10.1 3^{t})

Take the constant out:

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

= 39.25 \frac{d}{d t} (10.1 3^{t})

Apply the derivative exponent rule:

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

= 39.25 \cdot 10.1 3^{t} ln (10.13)

Simplify

39.25 \cdot 10.1 3^{t} ln (10.13) : 90.88342 \dots \cdot 10.1 3^{t}

= 90.88342 \dots \cdot 10.1 3^{t}

What is the derivative of 39.25(10.13)^t ?
The derivative of 39.25(10.13)^t is 90.88342…*10.13^t
What is the first derivative of 39.25(10.13)^t ?
The first derivative of 39.25(10.13)^t is 90.88342…*10.13^t