en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of cosh(x-(2e^{(-0.3x)}))

Solution

\frac{d}{d x} (cosh (x) - (2 e^{(- 0.3 x)}))

Solution

sinh (x) + 0.6 e^{- 0.3 x}

Solution steps

\frac{d}{d x} (cosh (x) - (2 e^{(- 0.3 x)}))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (cosh (x)) - \frac{d}{d x} (2 e^{- 0.3 x})

\frac{d}{d x} (cosh (x)) = sinh (x)

\frac{d}{d x} (2 e^{- 0.3 x}) = - 0.6 e^{- 0.3 x}

= sinh (x) - (- 0.6 e^{- 0.3 x})

Simplify

= sinh (x) + 0.6 e^{- 0.3 x}

Popular Examples

(dP)/(dt)=0.1P(1-P/(830))-1720/83

\frac{d P}{d t} = 0.1 P (1 - \frac{P}{830}) - \frac{1720}{83}

d/(dy)(e^x*sin(y))

\frac{d}{d y} (e^{x} \cdot sin (y))

derivative of 4y derivative of

4 y

y^{''}-10y^'+25y=0

y^{^{''}} - 10 y^{^{'}} + 25 y = 0

(dy)/(dx)+15x^2y=30x^2

\frac{d y}{d x} + 15 x^{2} y = 30 x^{2}

Frequently Asked Questions (FAQ)

What is the derivative of cosh(x-(2e^{(-0.3x)})) ?
The derivative of cosh(x-(2e^{(-0.3x)})) is sinh(x)+0.6e^{-0.3x}
What is the first derivative of cosh(x-(2e^{(-0.3x)})) ?
The first derivative of cosh(x-(2e^{(-0.3x)})) is sinh(x)+0.6e^{-0.3x}