What is the derivative of 8e^{6x} ?

The derivative of 8e^{6x} is 48e^{6x}

What is the first derivative of 8e^{6x} ?

The first derivative of 8e^{6x} is 48e^{6x}

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\frac{d}{d x} (8 e^{6 x})

48 e^{6 x}

Solution steps

\frac{d}{d x} (8 e^{6 x})

Take the constant out:

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

= 8 \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

= 8 e^{6 x} \cdot 6

Simplify

= 48 e^{6 x}

y^{^{'}} - 5 y = 2 e^{(5 x)}

\int_{0}^{\frac{π}{2}} 5 sin^{2} (2 x) d x

f (x) = 5 - 2 x^{2}, at x = - 3, 13

4 x^{\frac{3}{2}}

\int \frac{x}{1 + x} d x

What is the derivative of 8e^{6x} ?
The derivative of 8e^{6x} is 48e^{6x}
What is the first derivative of 8e^{6x} ?
The first derivative of 8e^{6x} is 48e^{6x}