What is the derivative of (1.01)^x+0.33^x ?

The derivative of (1.01)^x+0.33^x is 0.00995…*1.01^x-1.10866…*0.33^x

What is the first derivative of (1.01)^x+0.33^x ?

The first derivative of (1.01)^x+0.33^x is 0.00995…*1.01^x-1.10866…*0.33^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

(1.01)^{x} + 0.3 3^{x}

0.00995 \dots \cdot 1.0 1^{x} - 1.10866 \dots \cdot 0.3 3^{x}

Solution steps

\frac{d}{d x} (1.0 1^{x} + 0.3 3^{x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (1.0 1^{x}) + \frac{d}{d x} (0.3 3^{x})

\frac{d}{d x} (1.0 1^{x}) = 0.00995 \dots \cdot 1.0 1^{x}

\frac{d}{d x} (0.3 3^{x}) = - 1.10866 \dots \cdot 0.3 3^{x}

= 0.00995 \dots \cdot 1.0 1^{x} - 1.10866 \dots \cdot 0.3 3^{x}

What is the derivative of (1.01)^x+0.33^x ?
The derivative of (1.01)^x+0.33^x is 0.00995…*1.01^x-1.10866…*0.33^x
What is the first derivative of (1.01)^x+0.33^x ?
The first derivative of (1.01)^x+0.33^x is 0.00995…*1.01^x-1.10866…*0.33^x