What is the derivative of 0.2e^{5x} ?

The derivative of 0.2e^{5x} is e^{5x}

What is the first derivative of 0.2e^{5x} ?

The first derivative of 0.2e^{5x} is e^{5x}

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\frac{d}{d x} (0.2 e^{5 x})

e^{5 x}

Solution steps

\frac{d}{d x} (0.2 e^{5 x})

Take the constant out:

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

= 0.2 \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

= 0.2 e^{5 x} \cdot 5

Simplify

= e^{5 x}

f (x) = sin^{5} (3 x^{2} - x + 13)

\frac{81}{( 6 ( \frac{1}{6} ) + 8 ) ^{\frac{5}{2}}}

(arctan (5 x))^{2}

\frac{d}{d x} (x - 2 + y - 1)

x \to 1 + lim (\frac{x + 10}{1 - x})

What is the derivative of 0.2e^{5x} ?
The derivative of 0.2e^{5x} is e^{5x}
What is the first derivative of 0.2e^{5x} ?
The first derivative of 0.2e^{5x} is e^{5x}