What is the derivative of te^{2t} ?

The derivative of te^{2t} is e^{2t}+2e^{2t}t

What is the first derivative of te^{2t} ?

The first derivative of te^{2t} is e^{2t}+2e^{2t}t

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

t e^{2 t}

e^{2 t} + 2 e^{2 t} t

Solution steps

\frac{d}{d t} (t e^{2 t})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = t, g = e^{2 t}

= \frac{d t}{d t} e^{2 t} + \frac{d}{d t} (e^{2 t}) t

\frac{d t}{d t} = 1

\frac{d}{d t} (e^{2 t}) = e^{2 t} \cdot 2

= 1 \cdot e^{2 t} + e^{2 t} \cdot 2 t

Simplify

= e^{2 t} + 2 e^{2 t} t

\frac{( x + 1 )}{( x + 7 )}

\int \frac{3}{x 4 - 9 ln ^{2} ( x )} d x

\frac{4 x ^{\frac{3}{2}}}{x}

y^{^{''}} + 4 y^{^{'}} + 4 y = - (18 t e - 2 t + 8 t + 4)

f (x) = x^{2} - 10 x

What is the derivative of te^{2t} ?
The derivative of te^{2t} is e^{2t}+2e^{2t}t
What is the first derivative of te^{2t} ?
The first derivative of te^{2t} is e^{2t}+2e^{2t}t