en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

d/(dt)((s)(36(9t^2-7)^3))

Solution

\frac{d}{d t} ((s) (36 (9 t^{2} - 7)^{3}))

Solution

1944 s t (9 t^{2} - 7)^{2}

Solution steps

\frac{d}{d t} ((s) (36 (9 t^{2} - 7)^{3}))

Take the constant out:

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

= s \cdot 36 \frac{d}{d t} ((9 t^{2} - 7)^{3})

Apply the chain rule:

3 (9 t^{2} - 7)^{2} \frac{d}{d t} (9 t^{2} - 7)

= 3 (9 t^{2} - 7)^{2} \frac{d}{d t} (9 t^{2} - 7)

\frac{d}{d t} (9 t^{2} - 7) = 18 t

= s \cdot 36 \cdot 3 (9 t^{2} - 7)^{2} \cdot 18 t

Simplify

= 1944 s t (9 t^{2} - 7)^{2}

Popular Examples

simplify (43.3333)/((s+33.33333)s)simplify

\frac{43.3333}{( s + 33.33333 ) s}

((x^3+2x^2+5x-4))/((x^2-1)se)

\frac{( x ^{3} + 2 x ^{2} + 5 x - 4 )}{( x ^{2} - 1 ) se}

expand ((e^{5(e^t-1)}))^{365}expand

((e^{5 (e^{t} - 1)}))^{365}

expand ((x+5)/2)^2 expand

(\frac{x + 5}{2})^{2}

expand (e^{st}+e^{-st})*(e^{sxt}+e^{-sxt})expand

(e^{s t} + e^{- s t}) \cdot (e^{s x t} + e^{- s x t})

Frequently Asked Questions (FAQ)

What is the d/(dt)((s)(36(9t^2-7)^3)) ?
The d/(dt)((s)(36(9t^2-7)^3)) is 1944st(9t^2-7)^2
What is the first d/(dt)((s)(36(9t^2-7)^3)) ?
The first d/(dt)((s)(36(9t^2-7)^3)) is 1944st(9t^2-7)^2