en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of e^{4z}-4e^{-4z}

Solution

derivative of

e^{4 z} - 4 e^{- 4 z}

Solution

4 e^{4 z} + 16 e^{- 4 z}

Solution steps

\frac{d}{d z} (e^{4 z} - 4 e^{- 4 z})

Apply the Sum/Difference Rule:

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

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

\frac{d}{d z} (e^{4 z}) = e^{4 z} \cdot 4

\frac{d}{d z} (4 e^{- 4 z}) = - 16 e^{- 4 z}

= e^{4 z} \cdot 4 - (- 16 e^{- 4 z})

Simplify

= 4 e^{4 z} + 16 e^{- 4 z}

Popular Examples

(\partial)/(\partial y)(sin(x)sin(y))

\frac{\partial}{\partial y} (sin (x) sin (y))

(x+y)dx-(x-y)dy=0,y(1)=0

(x + y) d x - (x - y) d y = 0, y (1) = 0

integral of s/(s^2+6s+11)

\int \frac{s}{s ^{2} + 6 s + 11} d s

derivative of f(x)=sqrt(4x-3)derivative of

f (x) = 4 x - 3

integral of-2cos(2x)

\int - 2 cos (2 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of e^{4z}-4e^{-4z} ?
The derivative of e^{4z}-4e^{-4z} is 4e^{4z}+16e^{-4z}
What is the first derivative of e^{4z}-4e^{-4z} ?
The first derivative of e^{4z}-4e^{-4z} is 4e^{4z}+16e^{-4z}