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

The derivative of e^{x^5+3x} is e^{x^5+3x}(5x^4+3)

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

The first derivative of e^{x^5+3x} is e^{x^5+3x}(5x^4+3)

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

e^{x^{5} + 3 x} (5 x^{4} + 3)

Solution steps

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

Apply the chain rule:

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

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

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

= e^{x^{5} + 3 x} (5 x^{4} + 3)

x^{3} - 8 x^{2}

\frac{d}{d u} (\frac{( 2 u ^{3} + 7 ) ( 3 u ^{2} - 5 )}{u ^{2} + 1})

\int \frac{x}{( 4 + x ^{4} ) ^{2}} d x

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

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

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