What is the derivative of 25e^{5x} ?

The derivative of 25e^{5x} is 125e^{5x}

What is the first derivative of 25e^{5x} ?

The first derivative of 25e^{5x} is 125e^{5x}

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\frac{d}{d x} (25 e^{5 x})

125 e^{5 x}

Solution steps

\frac{d}{d x} (25 e^{5 x})

Take the constant out:

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

= 25 \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

= 25 e^{5 x} \cdot 5

Simplify

= 125 e^{5 x}

\frac{\partial}{\partial x} (\frac{31 x y}{x - y})

\int sec^{2} (θ) tan^{8} (θ) d θ

\frac{\partial}{\partial x} (1 + y^{2})

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

n = 1 \sum \infty (\frac{1}{7})^{n}

What is the derivative of 25e^{5x} ?
The derivative of 25e^{5x} is 125e^{5x}
What is the first derivative of 25e^{5x} ?
The first derivative of 25e^{5x} is 125e^{5x}