What is the derivative of e^{tx} ?

The derivative of e^{tx} is e^{tx}t

What is the first derivative of e^{tx} ?

The first derivative of e^{tx} is e^{tx}t

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Popular >

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

e^{t x} t

Solution steps

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

Treat

t

as a constant

Apply the chain rule:

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

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

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

= e^{t x} t

4.86 e^{- 0.047 (10)}

2 (2 K g) \cdot (0.2 m)^{2}

(2 x^{2} y^{4}) (3 x^{5} y^{5}) (2 x^{3} y^{3})

1 0^{- 4} (0.438) (3 \cdot 3)^{2}

\frac{3}{2} \cdot 2

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