What is the first derivative of 6e^t ?

The first derivative of 6e^t is 6e^t

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derivative of 6e^t

derivative of

6 e^{t}

6 e^{t}

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= 6 e^{t}

\frac{d}{d x} (ln (tanh (\frac{x}{2})))

\int 7 (1 + tan^{2} (x)) d x

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\int \frac{56}{1 - cos ( 7 x )} d x

\frac{d}{d x} (\frac{3 x ^{2} + 3}{x})