What is the derivative of 3x^e ?

The derivative of 3x^e is 3ex^{e-1}

What is the first derivative of 3x^e ?

The first derivative of 3x^e is 3ex^{e-1}

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

3 e x^{e - 1}

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 3 e x^{e - 1}

n = 1 \sum \infty \frac{( 1 )}{n !}

3 x, 3 x

y^{^{'}} - 6 y + 1 = 0

y^{^{''}} + y = t e^{t}

\frac{d}{d x} (x y z)

What is the derivative of 3x^e ?
The derivative of 3x^e is 3ex^{e-1}
What is the first derivative of 3x^e ?
The first derivative of 3x^e is 3ex^{e-1}