What is the d/(dy)((y-12)^{3/2}) ?

The d/(dy)((y-12)^{3/2}) is (3(y-12)^{1/2})/2

What is the first d/(dy)((y-12)^{3/2}) ?

The first d/(dy)((y-12)^{3/2}) is (3(y-12)^{1/2})/2

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 - 12)^{\frac{3}{2}})

\frac{3 ( y - 12 ) ^{\frac{1}{2}}}{2}

Solution steps

\frac{d}{d y} ((y - 12)^{\frac{3}{2}})

Apply the chain rule:

\frac{3 ( y - 12 ) ^{\frac{1}{2}}}{2} \frac{d}{d y} (y - 12)

= \frac{3 ( y - 12 ) ^{\frac{1}{2}}}{2} \frac{d}{d y} (y - 12)

\frac{d}{d y} (y - 12) = 1

= \frac{3 ( y - 12 ) ^{\frac{1}{2}}}{2} \cdot 1

Simplify

= \frac{3 ( y - 12 ) ^{\frac{1}{2}}}{2}

\int \frac{2}{3} x^{\frac{3}{2}} - 9 sin (x) + C d x

x \to 1 + lim (ln (x^{2} - 1))

\int x (x - 1) d x

\frac{d ^{2}}{d x ^{2}} ((x^{2} + 6)^{7})

g (x) = sin (x), 0, \frac{π}{4}

What is the d/(dy)((y-12)^{3/2}) ?
The d/(dy)((y-12)^{3/2}) is (3(y-12)^{1/2})/2
What is the first d/(dy)((y-12)^{3/2}) ?
The first d/(dy)((y-12)^{3/2}) is (3(y-12)^{1/2})/2