What is the d/(dw)(te^{(w/t)}) ?

The d/(dw)(te^{(w/t)}) is e^{w/t}

What is the first d/(dw)(te^{(w/t)}) ?

The first d/(dw)(te^{(w/t)}) is e^{w/t}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d w} (t e^{(\frac{w}{t})})

e^{\frac{w}{t}}

Solution steps

\frac{d}{d w} (t e^{(\frac{w}{t})})

Treat

t

as a constant

Take the constant out:

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

= t \frac{d}{d w} (e^{\frac{w}{t}})

Apply the chain rule:

e^{\frac{w}{t}} \frac{d}{d w} (\frac{w}{t})

= e^{\frac{w}{t}} \frac{d}{d w} (\frac{w}{t})

\frac{d}{d w} (\frac{w}{t}) = \frac{1}{t}

= t e^{\frac{w}{t}} \frac{1}{t}

Simplify

t e^{\frac{w}{t}} \frac{1}{t} : e^{\frac{w}{t}}

= e^{\frac{w}{t}}

(\frac{1}{x + 1})^{^{'}}

\int (2 x - cos (6 x)) d x

x \to \infty lim (0. 8^{x})

\int 3 x^{2} 2 x^{3} - 5 d x

f (x) = 4 - x^{2}, at x = 1.154