What is the derivative of 5e^{6x} ?

The derivative of 5e^{6x} is 30e^{6x}

What is the first derivative of 5e^{6x} ?

The first derivative of 5e^{6x} is 30e^{6x}

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\frac{d}{d x} (5 e^{6 x})

30 e^{6 x}

Solution steps

\frac{d}{d x} (5 e^{6 x})

Take the constant out:

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

= 5 \frac{d}{d x} (e^{6 x})

Apply the chain rule:

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

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

\frac{d}{d x} (6 x) = 6

= 5 e^{6 x} \cdot 6

Simplify

= 30 e^{6 x}

\int 8 x^{3} e^{- x^{2}} d x

y^{^{'}} = y (x y^{4} + 2)

x \to 9 lim ((x - 9)^{4})

\frac{d}{d x} (sin (x) - x)

\frac{( 3 x ^{2} e ^{x} - 4 )}{x ^{2}}

What is the derivative of 5e^{6x} ?
The derivative of 5e^{6x} is 30e^{6x}
What is the first derivative of 5e^{6x} ?
The first derivative of 5e^{6x} is 30e^{6x}