What is the derivative of 6t^2-4t+9 ?

The derivative of 6t^2-4t+9 is 12t-4

What is the first derivative of 6t^2-4t+9 ?

The first derivative of 6t^2-4t+9 is 12t-4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

6 t^{2} - 4 t + 9

12 t - 4

Solution steps

\frac{d}{d t} (6 t^{2} - 4 t + 9)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d t} (6 t^{2}) - \frac{d}{d t} (4 t) + \frac{d}{d t} (9)

\frac{d}{d t} (6 t^{2}) = 12 t

\frac{d}{d t} (4 t) = 4

\frac{d}{d t} (9) = 0

= 12 t - 4 + 0

Simplify

= 12 t - 4

What is the derivative of 6t^2-4t+9 ?
The derivative of 6t^2-4t+9 is 12t-4
What is the first derivative of 6t^2-4t+9 ?
The first derivative of 6t^2-4t+9 is 12t-4