What is the derivative of-AB^{-x}+C ?

The derivative of-AB^{-x}+C is AB^{-x}ln(B)

What is the first derivative of-AB^{-x}+C ?

The first derivative of-AB^{-x}+C is AB^{-x}ln(B)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (- A B^{- x} + C)

A B^{- x} ln (B)

Solution steps

\frac{d}{d x} (- A B^{- x} + C)

Treat

A, B, C

as constants

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (A B^{- x}) + \frac{d C}{d x}

\frac{d}{d x} (A B^{- x}) = - A B^{- x} ln (B)

\frac{d C}{d x} = 0

= - (- A B^{- x} ln (B)) + 0

Simplify

= A B^{- x} ln (B)

\frac{d}{d x} (2 x (1 - x)^{3} - 3 x^{2} (1 - x)^{2})

\int \frac{x + 1}{x + 2} d x

\int \frac{x}{x + 20} d x

(x + x) (\frac{d y}{d x}) = y + y

f (x) = cos (x), at (0)

What is the derivative of-AB^{-x}+C ?
The derivative of-AB^{-x}+C is AB^{-x}ln(B)
What is the first derivative of-AB^{-x}+C ?
The first derivative of-AB^{-x}+C is AB^{-x}ln(B)