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

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

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

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

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

15 e^{x^{3}} x^{2}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

= 15 e^{x^{3}} x^{2}

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(2 x - 1) d x + (7 y + 8) d y = 0

x \to - 5 lim (4)

\int \frac{( 1 + x ) ^{9}}{x} d x

\int \frac{1}{x 361 x ^{2} - 361} d x

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