What is the derivative of Ae^{5x} ?

The derivative of Ae^{5x} is Ae^{5x}*5

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

The first derivative of Ae^{5x} is Ae^{5x}*5

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

A e^{5 x} \cdot 5

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 x) = 5

= A e^{5 x} \cdot 5

y^{^{'}} - (\frac{2}{x} y) = (\frac{y ^{3}}{x ^{3}}), y (1) = 1

sin (- 3 t)

\int cos (t) e^{- s t} d t

x \to + 0 lim (\frac{sin ( x ^{2} )}{x})

n = 0 \sum \infty 7^{- n}

What is the derivative of Ae^{5x} ?
The derivative of Ae^{5x} is Ae^{5x}*5
What is the first derivative of Ae^{5x} ?
The first derivative of Ae^{5x} is Ae^{5x}*5