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

The derivative of 3e^{x^5} is 15e^{x^5}x^4

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

The first derivative of 3e^{x^5} is 15e^{x^5}x^4

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

15 e^{x^{5}} x^{4}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

Simplify

= 15 e^{x^{5}} x^{4}

\int 5 x sec (x) tan (x) d x

\frac{d}{d y} (x - y)

\frac{2}{s + 1} + \frac{24 s}{s ^{2} + 9}

f^{^{''}} (x) = 4, f^{^{'}} (2) = 10, f (2) = 15

\frac{\partial}{\partial x} (r t)

What is the derivative of 3e^{x^5} ?
The derivative of 3e^{x^5} is 15e^{x^5}x^4
What is the first derivative of 3e^{x^5} ?
The first derivative of 3e^{x^5} is 15e^{x^5}x^4