What is the derivative of 5e^{2x} ?

The derivative of 5e^{2x} is 10e^{2x}

What is the first derivative of 5e^{2x} ?

The first derivative of 5e^{2x} is 10e^{2x}

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derivative of

5 e^{2 x}

10 e^{2 x}

Solution steps

\frac{d}{d x} (5 e^{2 x})

Take the constant out:

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

= 5 \frac{d}{d x} (e^{2 x})

Apply the chain rule:

e^{2 x} \frac{d}{d x} (2 x)

= e^{2 x} \frac{d}{d x} (2 x)

\frac{d}{d x} (2 x) = 2

= 5 e^{2 x} \cdot 2

Simplify

= 10 e^{2 x}

\frac{d}{d x} (6 x^{- 1})

5 (x^{6} - 8)^{5}

f (x) = 4 x + 3 x^{2}, at x = 2

\frac{\partial}{\partial x} (x^{2} z^{2})

e^{(c o s (t) + l n (t))}

What is the derivative of 5e^{2x} ?
The derivative of 5e^{2x} is 10e^{2x}
What is the first derivative of 5e^{2x} ?
The first derivative of 5e^{2x} is 10e^{2x}