What is the derivative of Ae^{3x} ?

The derivative of Ae^{3x} is Ae^{3x}*3

What is the first derivative of Ae^{3x} ?

The first derivative of Ae^{3x} is Ae^{3x}*3

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\frac{d}{d x} (A e^{3 x})

A e^{3 x} \cdot 3

Solution steps

\frac{d}{d x} (A e^{3 x})

Take the constant out:

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

= A \frac{d}{d x} (e^{3 x})

Apply the chain rule:

e^{3 x} \frac{d}{d x} (3 x)

= e^{3 x} \frac{d}{d x} (3 x)

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

= A e^{3 x} \cdot 3

f (x) = 5 x^{3}, - 10, 15, at x = 0

\frac{\partial}{\partial x} (1 - x^{2} - y^{2})

\int_{- 2}^{0} \frac{y}{2} + y + 3 d y

\frac{d}{d x} ((x^{2} + x)^{4})

y = 4 x^{3} - 10 x^{2}

What is the derivative of Ae^{3x} ?
The derivative of Ae^{3x} is Ae^{3x}*3
What is the first derivative of Ae^{3x} ?
The first derivative of Ae^{3x} is Ae^{3x}*3