What is the derivative of (1436.53)*(1.01395)^t ?

The derivative of (1436.53)*(1.01395)^t is 19.90110…*1.01395^t

What is the first derivative of (1436.53)*(1.01395)^t ?

The first derivative of (1436.53)*(1.01395)^t is 19.90110…*1.01395^t

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derivative of

(1436.53) \cdot (1.01395)^{t}

19.90110 \dots \cdot 1.0139 5^{t}

Solution steps

\frac{d}{d t} (1436.53 \cdot 1.0139 5^{t})

Take the constant out:

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

= 1436.53 \frac{d}{d t} (1.0139 5^{t})

Apply the derivative exponent rule:

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

= 1436.53 \cdot 1.0139 5^{t} ln (1.01395)

Simplify

1436.53 \cdot 1.0139 5^{t} ln (1.01395) : 19.90110 \dots \cdot 1.0139 5^{t}

= 19.90110 \dots \cdot 1.0139 5^{t}

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What is the derivative of (1436.53)*(1.01395)^t ?
The derivative of (1436.53)*(1.01395)^t is 19.90110…*1.01395^t
What is the first derivative of (1436.53)*(1.01395)^t ?
The first derivative of (1436.53)*(1.01395)^t is 19.90110…*1.01395^t