What is the derivative of f(x)=-3e^{4x} ?

The derivative of f(x)=-3e^{4x} is -12e^{4x}

What is the first derivative of f(x)=-3e^{4x} ?

The first derivative of f(x)=-3e^{4x} is -12e^{4x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = - 3 e^{4 x}

- 12 e^{4 x}

Solution steps

\frac{d}{d x} (- 3 e^{4 x})

Take the constant out:

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

= - 3 \frac{d}{d x} (e^{4 x})

Apply the chain rule:

e^{4 x} \frac{d}{d x} (4 x)

= e^{4 x} \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= - 3 e^{4 x} \cdot 4

Simplify

= - 12 e^{4 x}

\int - 4 x^{- 5} d x

\int \frac{1}{( x ^{2} )} d x

\int (2 x^{2} - x - 1) (3 x + 4) d x

\frac{d}{d x} (sin^{5} (4 x + 1))

y^{^{'}} \cdot (x^{2} + 2) + 4 x (y^{2} + 2 y + 1) = 0

What is the derivative of f(x)=-3e^{4x} ?
The derivative of f(x)=-3e^{4x} is -12e^{4x}
What is the first derivative of f(x)=-3e^{4x} ?
The first derivative of f(x)=-3e^{4x} is -12e^{4x}