What is the derivative of 6e^{2t} ?

The derivative of 6e^{2t} is 12e^{2t}

What is the first derivative of 6e^{2t} ?

The first derivative of 6e^{2t} is 12e^{2t}

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derivative of

6 e^{2 t}

12 e^{2 t}

Solution steps

\frac{d}{d t} (6 e^{2 t})

Take the constant out:

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

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

Apply the chain rule:

e^{2 t} \frac{d}{d t} (2 t)

= e^{2 t} \frac{d}{d t} (2 t)

\frac{d}{d t} (2 t) = 2

= 6 e^{2 t} \cdot 2

Simplify

= 12 e^{2 t}

a re a y = 3 x^{3}, y = 75 x

d er i v a t i v e x - 3

d er i v a t i v e 7 π r^{2}

\frac{y ^{^{'}}}{y} = 6 x^{2}

im pl i c i t \frac{d y}{d x}, y \cdot cos (x) = 2 x^{2} + 5 y^{2}

What is the derivative of 6e^{2t} ?
The derivative of 6e^{2t} is 12e^{2t}
What is the first derivative of 6e^{2t} ?
The first derivative of 6e^{2t} is 12e^{2t}