What is the derivative of e^{5x^4} ?

The derivative of e^{5x^4} is e^{5x^4}*20x^3

What is the first derivative of e^{5x^4} ?

The first derivative of e^{5x^4} is e^{5x^4}*20x^3

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\frac{d}{d x} (e^{5 x^{4}})

e^{5 x^{4}} \cdot 20 x^{3}

Solution steps

\frac{d}{d x} (e^{5 x^{4}})

Apply the chain rule:

e^{5 x^{4}} \frac{d}{d x} (5 x^{4})

= e^{5 x^{4}} \frac{d}{d x} (5 x^{4})

\frac{d}{d x} (5 x^{4}) = 20 x^{3}

= e^{5 x^{4}} \cdot 20 x^{3}

\frac{d y}{d x} + \frac{y}{x} = 9 x + 10

x \to 4 lim (2 x - 5)

\int \frac{4}{x - 3} d x

\frac{d}{d x} (x sin (x) + x cos (x))

n = 0 \sum \infty (\frac{7}{4})^{n}

What is the derivative of e^{5x^4} ?
The derivative of e^{5x^4} is e^{5x^4}*20x^3
What is the first derivative of e^{5x^4} ?
The first derivative of e^{5x^4} is e^{5x^4}*20x^3