What is the derivative of Ae^{4x} ?

The derivative of Ae^{4x} is Ae^{4x}*4

What is the first derivative of Ae^{4x} ?

The first derivative of Ae^{4x} is Ae^{4x}*4

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\frac{d}{d x} (A e^{4 x})

A e^{4 x} \cdot 4

Solution steps

\frac{d}{d x} (A e^{4 x})

Take the constant out:

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

= A \frac{d}{d x} (e^{4 x})

Apply the chain rule:

e^{4 x} \frac{d}{d x} (4 x)

= e^{4 x} \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= A e^{4 x} \cdot 4

\frac{\partial}{\partial v} (2 u + v)

ln (7 x + 9)

\int \frac{( x )}{16 x ^{4} - 1} d x

\int x^{2} 3^{x} d x

x \to 7 - lim (\frac{3}{x - 7})

What is the derivative of Ae^{4x} ?
The derivative of Ae^{4x} is Ae^{4x}*4
What is the first derivative of Ae^{4x} ?
The first derivative of Ae^{4x} is Ae^{4x}*4