What is the derivative of y=2(1.1)^t ?

The derivative of y=2(1.1)^t is 0.19062…*1.1^t

What is the first derivative of y=2(1.1)^t ?

The first derivative of y=2(1.1)^t is 0.19062…*1.1^t

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derivative of

y = 2 (1.1)^{t}

0.19062 \dots \cdot 1. 1^{t}

Solution steps

\frac{d}{d t} (2 \cdot 1. 1^{t})

Take the constant out:

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

= 2 \frac{d}{d t} (1. 1^{t})

Apply the derivative exponent rule:

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

= 2 \cdot 1. 1^{t} ln (1.1)

Simplify

2 \cdot 1. 1^{t} ln (1.1) : 0.19062 \dots \cdot 1. 1^{t}

= 0.19062 \dots \cdot 1. 1^{t}

What is the derivative of y=2(1.1)^t ?
The derivative of y=2(1.1)^t is 0.19062…*1.1^t
What is the first derivative of y=2(1.1)^t ?
The first derivative of y=2(1.1)^t is 0.19062…*1.1^t