What is the derivative of (2+1e^{2x}) ?

The derivative of (2+1e^{2x}) is 6e^{2x}

What is the first derivative of (2+1e^{2x}) ?

The first derivative of (2+1e^{2x}) is 6e^{2x}

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\frac{d}{d x} ((2 + 1) e^{2 x})

6 e^{2 x}

Solution steps

\frac{d}{d x} ((2 + 1) e^{2 x})

Simplify

(2 + 1) e^{2 x} : 3 e^{2 x}

= \frac{d}{d x} (3 e^{2 x})

Take the constant out:

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

= 3 \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

= 3 e^{2 x} \cdot 2

Simplify

= 6 e^{2 x}

\int \frac{e ^{x - 1 + l n (x - 1)}}{e ^{2 x}} d x

\int (\frac{15}{x ^{2} + 1}) d x

\int (5 x^{2} - 8 x) e^{2 x} d x

\int_{0}^{1} \frac{13}{x ^{5}} d x

2 x^{2}

What is the derivative of (2+1e^{2x}) ?
The derivative of (2+1e^{2x}) is 6e^{2x}
What is the first derivative of (2+1e^{2x}) ?
The first derivative of (2+1e^{2x}) is 6e^{2x}