What is the derivative of 2(3t+1)12 ?

The derivative of 2(3t+1)12 is 72

What is the first derivative of 2(3t+1)12 ?

The first derivative of 2(3t+1)12 is 72

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derivative of

2 (3 t + 1) 12

72

Solution steps

\frac{d}{d t} (2 (3 t + 1) \cdot 12)

Simplify

2 (3 t + 1) \cdot 12 : 24 (3 t + 1)

= \frac{d}{d t} (24 (3 t + 1))

Take the constant out:

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

= 24 \frac{d}{d t} (3 t + 1)

Apply the Sum/Difference Rule:

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

= 24 (\frac{d}{d t} (3 t) + \frac{d}{d t} (1))

\frac{d}{d t} (3 t) = 3

\frac{d}{d t} (1) = 0

= 24 (3 + 0)

Simplify

= 72

What is the derivative of 2(3t+1)12 ?
The derivative of 2(3t+1)12 is 72
What is the first derivative of 2(3t+1)12 ?
The first derivative of 2(3t+1)12 is 72