What is the derivative of 25*1.6^t ?

The derivative of 25*1.6^t is 11.75009…*1.6^t

What is the first derivative of 25*1.6^t ?

The first derivative of 25*1.6^t is 11.75009…*1.6^t

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

25 \cdot 1. 6^{t}

11.75009 \dots \cdot 1. 6^{t}

Solution steps

\frac{d}{d t} (25 \cdot 1. 6^{t})

Take the constant out:

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

= 25 \frac{d}{d t} (1. 6^{t})

Apply the derivative exponent rule:

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

= 25 \cdot 1. 6^{t} ln (1.6)

Simplify

25 \cdot 1. 6^{t} ln (1.6) : 11.75009 \dots \cdot 1. 6^{t}

= 11.75009 \dots \cdot 1. 6^{t}

\frac{\partial}{\partial x} (\frac{y}{2 1 + x y})

\int_{1}^{4} 24 t d t

\frac{d}{d x} ((3 x + 2) x^{2})

\int (sin (x) - 3 cos (x)) d x

\int e^{9 x - 2} d x

What is the derivative of 25*1.6^t ?
The derivative of 25*1.6^t is 11.75009…*1.6^t
What is the first derivative of 25*1.6^t ?
The first derivative of 25*1.6^t is 11.75009…*1.6^t