What is the d/(dy)((x)(e^x)) ?

The d/(dy)((x)(e^x)) is e^y+e^yy

What is the first d/(dy)((x)(e^x)) ?

The first d/(dy)((x)(e^x)) is e^y+e^yy

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d y} ((y) (e^{y}))

e^{y} + e^{y} y

Solution steps

\frac{d}{d y} ((y) (e^{y}))

Apply the Product Rule:

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

f = y, g = e^{y}

= \frac{d y}{d y} e^{y} + \frac{d}{d y} (e^{y}) y

\frac{d y}{d y} = 1

\frac{d}{d y} (e^{y}) = e^{y}

= 1 \cdot e^{y} + e^{y} y

Simplify

= e^{y} + e^{y} y

f (t) = - 3 t^{3} - 2 t + 1

(x + 1)^{2} - 2

sin (c) (10 t)

(x + 3)^{2} - 2 (x + 3) - 24

24 e^{2} - 28 e - 12