What is the derivative of e^{5x^3} ?

The derivative of e^{5x^3} is e^{5x^3}*15x^2

What is the first derivative of e^{5x^3} ?

The first derivative of e^{5x^3} is e^{5x^3}*15x^2

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\frac{d}{d x} (e^{5 x^{3}})

e^{5 x^{3}} \cdot 15 x^{2}

Solution steps

\frac{d}{d x} (e^{5 x^{3}})

Apply the chain rule:

e^{5 x^{3}} \frac{d}{d x} (5 x^{3})

= e^{5 x^{3}} \frac{d}{d x} (5 x^{3})

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

= e^{5 x^{3}} \cdot 15 x^{2}

6 - 6 e^{- 5 t}

\int_{0}^{\frac{5}{12}} 60 x d x

\frac{d}{d x} (e^{2 x} - e^{2})

(1 + x)^{- \frac{3}{5}}

x \to 7 lim (\frac{x + 7}{∣ x + 7 ∣})

What is the derivative of e^{5x^3} ?
The derivative of e^{5x^3} is e^{5x^3}*15x^2
What is the first derivative of e^{5x^3} ?
The first derivative of e^{5x^3} is e^{5x^3}*15x^2