What is the derivative of 0.5^x ?

The derivative of 0.5^x is -0.69314…*0.5^x

What is the first derivative of 0.5^x ?

The first derivative of 0.5^x is -0.69314…*0.5^x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

0. 5^{x}

- 0.69314 \dots \cdot 0. 5^{x}

Solution steps

\frac{d}{d x} (0. 5^{x})

Apply the derivative exponent rule:

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

= 0. 5^{x} ln (0.5)

Simplify

0. 5^{x} ln (0.5) : - 0.69314 \dots \cdot 0. 5^{x}

= - 0.69314 \dots \cdot 0. 5^{x}

\frac{d}{d x} (a + b^{1} x^{1} + b^{2} x^{2})

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

\frac{- 2 x}{cos ( x )}

\frac{d}{d t} (3 cos^{6} (t))

e^{3} x + 2

What is the derivative of 0.5^x ?
The derivative of 0.5^x is -0.69314…*0.5^x
What is the first derivative of 0.5^x ?
The first derivative of 0.5^x is -0.69314…*0.5^x