What is the derivative of e^{5t} ?

The derivative of e^{5t} is e^{5t}*5

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

The first derivative of e^{5t} is e^{5t}*5

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derivative of

e^{5 t}

e^{5 t} \cdot 5

Solution steps

\frac{d}{d t} (e^{5 t})

Apply the chain rule:

e^{5 t} \frac{d}{d t} (5 t)

= e^{5 t} \frac{d}{d t} (5 t)

\frac{d}{d t} (5 t) = 5

= e^{5 t} \cdot 5

\int (x^{3} + 2)^{\frac{1}{2}} \cdot x^{2} d x

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

\frac{\partial}{\partial x} (2 x^{2} y - y^{3} + x)

\int_{0}^{1} 2 π x (x^{5} - x^{6}) d x

\int \frac{1}{e ^{2 y}} d y

What is the derivative of e^{5t} ?
The derivative of e^{5t} is e^{5t}*5
What is the first derivative of e^{5t} ?
The first derivative of e^{5t} is e^{5t}*5